Talk_id  Date  Speaker  Title 
4112

Wednesday 9/6 4:10 PM

Ustun Yildirim, MSU

Complexified Cayley Grassmannian
 Complexified Cayley Grassmannian
 09/06/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Ustun Yildirim, MSU
No abstract available.

4103

Thursday 9/7 11:00 AM

Erik Bates, Stanford University

Lowtemperature localization of directed polymers
 Lowtemperature localization of directed polymers
 09/07/2017
 11:00 AM  12:00 PM
 C304 Wells Hall
 Erik Bates, Stanford University
On the ddimensional integer lattice, directed polymers can be seen as paths of a random walk in random environment, except that the environment updates at each time step. The result is a statistical mechanical system, whose qualitative behavior is governed by a temperature parameter and the law of the environment. Historically, the phase transitions of this system have been best understood by whether or not the path’s endpoint localizes. While the endpoint is no longer a Markov process as in a random walk, its quenched distribution is. The key difficulty is that the space of measures is too large for one to expect convergence results. By adapting methods recently used by Mukherjee and Varadhan, we develop a compactification theory to resolve the issue. In this talk, we will discuss this intriguing abstraction, as well as new concrete theorems it allows us to prove for directed polymers constructed from SRW or any other walk. (This talk is based on joint work with Sourav Chatterjee.)

4073

Thursday 9/7 2:00 PM

Mark Greenfield, University of Michigan

Thurston's metric on Teichmueller spaces of flat ntori
 Thurston's metric on Teichmueller spaces of flat ntori
 09/07/2017
 2:00 PM  3:00 PM
 C304 Wells Hall
 Mark Greenfield, University of Michigan
Several interesting metrics have been defined for Teichmueller spaces of hyperbolic surfaces. However, analogous metrics on the Teichmueller space of flat ntori have not been as well studied. After reviewing some background on Teichmueller theory, we will define an analog of Thurston's metric for these spaces. We find that in dimension n=2, it agrees with the hyperbolic metric. In particular, this gives a new way to realize the hyperbolic plane as the moduli space of marked flat tori. Time permitting, we will describe the corresponding situation in dimension n>2. This work is joint with Lizhen Ji.

4111

Thursday 9/7 4:10 PM

MSU Postdocs

Postdoc Lightning Talks
 Postdoc Lightning Talks
 09/07/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 MSU Postdocs
No abstract available.

4113

Friday 9/8 3:00 PM

Robert J. Rietz, MAAA

Actuarial Kickoff Lecture
 Actuarial Kickoff Lecture
 09/08/2017
 3:00 PM  4:30 PM
 B117 Wells Hall
 Robert J. Rietz, MAAA
"Effects of Gainsharing Provisions on the Selection of a
Discount Rate for a Defined Benefit Pension Plan

4119

Monday 9/11 3:00 PM

Charlotte Ure, MSU

The Burnside Problem and PITheory
 The Burnside Problem and PITheory
 09/11/2017
 3:00 PM  3:50 PM
 C304 Wells Hall
 Charlotte Ure, MSU
No abstract available.

4107

Monday 9/11 4:10 PM

Katherine Raoux, MSU

τinvariants for knots in rational homology spheres
 τinvariants for knots in rational homology spheres
 09/11/2017
 4:10 PM  5:30 PM
 C304 Wells Hall
 Katherine Raoux, MSU
Using the knot filtration on the Heegaard Floer chain complex, Ozsváth and Szabó defined an invariant of knots in the 3sphere called τ(K). In particular, they showed that τ(K) is a lower bound for the 4ball genus of K. Generalizing their construction, I will show that for a (not necessarily nullhomologous) knot, K, in a rational homology sphere, Y, we can define a collection of τinvariants, one for each spinc structure on Y. In addition, these invariants give a lower bound for the genus of a surface with boundary K properly embedded in a negative definite 4manifold with boundary Y.

4117

Tuesday 9/12 11:00 AM


Reading seminar on Topological Insulators
 Reading seminar on Topological Insulators
 09/12/2017
 11:00 AM  12:00 PM
 C304 Wells Hall

In the study of quantum phases, the concept of topological invariant has emerged as a new paradigm beyond that of Landau theory. The relevance of topology for the classification of phases has been known since the discovery of the quantum hall effect. However, recent theoretical and experimental discoveries of new topological insulators has led to a renewed interest. The purpose of this reading group is to explore both recent and classical results for topological insulators including but not limited to (1) bulkboundary correspondence (2) Ktheoretic classification of topological insulators (3) topological invariants in the presence of disorder (4) quantization of Hall conductance in interacting systems.

4114

Tuesday 9/12 4:10 PM

Bruce Sagan, Michigan State University

Bounding Roots of Polynomials
 Bounding Roots of Polynomials
 09/12/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Bruce Sagan, Michigan State University
We will present methods for bounding the modulus of the complex roots of a polynomial. These include the Cauchy bound and the use of Newton polynomials, the latter also being useful in interpolation problems. No background outside of elementary calculus will be assumed. In a subsequent talk, we will use these techniques to make progress on a conjecture about the roots of a polynomial of combinatorial interest.

4104

Thursday 9/14 11:00 AM

Matthew Cha, MSU

Stability of superselection sectors in infinite quantum spin systems
 Stability of superselection sectors in infinite quantum spin systems
 09/14/2017
 11:00 AM  12:00 PM
 C304 Wells Hall
 Matthew Cha, MSU
Superselection sectors are equivalence classes of unitarily equivalent representations and can be used to label charges in a quantum system. We consider a family of superselection sectors for infinite quantum spin systems corresponding to almost localized endomorphisms. If the vacuum state is pure and satisfies certain locality conditions, we show how to recover the charge statistics. In particular, the superselection structure is that of a braided tensor category, and further, is stable against deformations by a quasilocal dynamics. We apply our results to prove stability of anyons in Kitaev's quantum double. Braided tensor categories naturally appear as the algebraic theory of anyons in topological phases of matter. Our results provide evidence that the anyonic structure is an invariant of topologically ordered states. This is work is joint with Pieter Naaijkens and Bruno Nachtergaele.

4102

Thursday 9/14 2:00 PM

Diana Hubbard, University of Michigan

On the braid index and the fractional Dehn twist coefficient
 On the braid index and the fractional Dehn twist coefficient
 09/14/2017
 2:00 PM  3:00 PM
 C304 Wells Hall
 Diana Hubbard, University of Michigan
The braid index of a knot is the least number of strands necessary to represent the knot as a closure of a braid on that many strands. If we view a braid as an element of the mapping class group of the punctured disk, its fractional Dehn twist coefficient (FDTC) is a number that measures the amount of twisting it exerts about the boundary of the disk. In this talk I will demonstrate that nbraids with FDTC larger than n1 realize the braid index of their closure. The proof uses the concordance homomorphism Upsilon arising from knot Floer homology as a crucial tool. This is joint work with Peter Feller.

4121

Thursday 9/14 4:10 PM

Raluca Balan, University of Ottawa

Second order Lyapunov exponent for the hyperbolic Anderson model
 Second order Lyapunov exponent for the hyperbolic Anderson model
 09/14/2017
 4:10 PM  5:00 PM
 C405 Wells Hall
 Raluca Balan, University of Ottawa
In this talk, I will present some recent results regarding the asymptotic behavior of the second moment of the solution to the hyperbolic Anderson model in arbitrary spatial dimension d, driven by a Gaussian noise which is white in time. Two cases are considered for the spatial covariance structure of the noise: (i) the Fourier transform of the spectral measure of the noise is a nonnegative locallyintegrable function; (ii) d=1 and the noise is a fractional Brownian motion in space with index 1/4<H<1/2. These results are derived from a connection between the hyperbolic and parabolic models, and the recent powerful results of Huang, Le and Nualart (2015) for the parabolic model. This talk is based on joint work with Jian Song (University of Hong Kong).

4108

Thursday 9/14 4:10 PM

Rayan Saab, UCSD

Phase retrieval from local measurements
 Phase retrieval from local measurements
 09/14/2017
 4:10 PM  5:00 PM
 C517 Wells Hall
 Rayan Saab, UCSD
We consider an instance of the phaseretrieval problem, where one wishes to recover a signal (viewed as a vector) from the noisy magnitudes of its inner products with locally supported vectors. Such measurements arise, for example, in ptychography, which is an imaging technique used in lenseless Xray microscopes and in optical microscopes with increased fields of view.
Starting with the setup where the signal is onedimensional, we present theoretical and numerical results on an approach that has two important properties. First, it allows deterministic measurement constructions (which we give examples of). Second, it uses a robust, fast recovery algorithm that consists of solving a system of linear equations in a lied space, followed by finding an eigenvector (e.g., via an inverse power iteration). We also present extensions to the twodimensional setting.
This is joint work with M. Iwen, B. Preskit, and A. Viswanathan.

4091

Thursday 9/14 4:10 PM

Jason Starr, Stony Brook University

Solving polynomials with (higher) positive curvature
 Solving polynomials with (higher) positive curvature
 09/14/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Jason Starr, Stony Brook University
A smooth solution set of a system of complex polynomials is a manifold that can be studied geometrically. About 15 years ago, two results proved the existence of solutions of the system over a "function field of a complex curve" (GraberHarrisStarr) and over a finite field (Esnault) provided the associated complex manifolds have positive curvature in a weak sense (rational connectedness). More recently, when
the manifold satisfies a higher version of positive curvature (rational simple connectedness), a similar result was proved over a function field of a complex surface (de JongHeStarr). I will explain these results, some applications to algebra (Serre's "Conjecture II", "PeriodIndex"), and recent extensions, joint with Chenyang Xu, to "function fields over finite fields" and Ax's "PAC fields".

4128

Monday 9/18 3:00 PM

Nicholas Ovenhouse, MSU

Groupoids and Groupoid Objects
 Groupoids and Groupoid Objects
 09/18/2017
 3:00 PM  3:50 PM
 C304 Wells Hall
 Nicholas Ovenhouse, MSU
The concept of a groupoid is a very general one, abstracting and generalizing many different concepts and definitions, including groups, group actions, equivalence relations, vector bundles, fundamental groups, and many others. I will define groupoids and give many examples, and then discuss the notion of "groupoid objects" in a category, which is the analogue of the notion of a "group object". Examples include Lie groupoids, symplectic groupoids, and algebraic groupoids.

4127

Monday 9/18 4:10 PM

Katherine Raoux, MSU

τinvariants for knots in rational homology spheres (2)
 τinvariants for knots in rational homology spheres (2)
 09/18/2017
 4:10 PM  5:30 PM
 C304 Wells Hall
 Katherine Raoux, MSU
Using the knot filtration on the Heegaard Floer chain complex, Ozsváth and Szabó defined an invariant of knots in the 3sphere called τ(K). In particular, they showed that τ(K) is a lower bound for the 4ball genus of K. Generalizing their construction, I will show that for a (not necessarily nullhomologous) knot, K, in a rational homology sphere, Y, we can define a collection of τinvariants, one for each spinc structure on Y. In addition, these invariants give a lower bound for the genus of a surface with boundary K properly embedded in a negative definite 4manifold with boundary Y.

5133

Tuesday 9/19 11:00 AM

Matthew Cha

Reading seminar on Topological Insulators
 Reading seminar on Topological Insulators
 09/19/2017
 11:00 AM  12:00 PM
 C304 Wells Hall
 Matthew Cha
In the study of quantum phases, the concept of topological invariant has emerged as a new paradigm beyond that of Landau theory. The relevance of topology for the classification of phases has been known since the discovery of the quantum hall effect. However, recent theoretical and experimental discoveries of new topological insulators has led to a renewed interest. The purpose of this reading group is to explore both recent and classical results for topological insulators including but not limited to (1) bulkboundary correspondence (2) Ktheoretic classification of topological insulators (3) topological invariants in the presence of disorder (4) quantization of Hall conductance in interacting systems.

4123

Tuesday 9/19 4:10 PM

Bruce Sagan, Michigan State University

Roots of descent polynomials
 Roots of descent polynomials
 09/19/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Bruce Sagan, Michigan State University
Let S_n be the symmetric group of all permutations p = p_1 ... p_n of the numbers 1, ..., n. The descent set of p is the set of indices i such that p_i > p_{i+1}. Given a set of positive integers I we let d(I;n) be the number of permutations in S_n with descent set I. In 1915 MacMahon proved that d(I;n) is a polynomial in n, but its properties do not seem to have been much studied until now. We apply the method of Newton bases from the previous lecture to make progress on a conjecture about the location of the roots of d(I;n) where n is now a complex number. This is joint work with Alexander DiazLopez, Pamela Harris, Erik Insko, and Mohamed Omar.

5132

Wednesday 9/20 4:10 PM

Wenzhao Chen, MSU

Introduction to CassonGordon invariants
 Introduction to CassonGordon invariants
 09/20/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Wenzhao Chen, MSU
This is an introductory talk on why and how Casson and Gordon defined CassonGordon invariants, based on their paper "Cobordism of classical knots".

5130

Thursday 9/21 10:00 AM

Eric Bucher, MSU

What is a cluster algebra?
 What is a cluster algebra?
 09/21/2017
 10:00 AM  10:50 AM
 C304 Wells Hall
 Eric Bucher, MSU
This will be the first talk of the fall cluster algebra seminar. We have some new attendees this semester so we will start with the basics, discussing definitions and examples of cluster algebras.

4096

Thursday 9/21 11:00 AM

Gang Zhou, SUNY Binghamton

On the quantum and PDE models of Polaron
 On the quantum and PDE models of Polaron
 09/21/2017
 11:00 AM  12:00 PM
 C304 Wells Hall
 Gang Zhou, SUNY Binghamton
Polaron theory is a model of an electron in a crystal lattice.
It is studied in the framework of nonequilibrium statistic mechanics.
There are two different mathematical models: H. Frohlich proposed a
quantum model in 1937; L. Landau and S. I. Pekar proposed a system of
nonlinear PDEs in 1948. In this talk I will present a proof that these
two models are equivalent to certain orders, and present some other
related works. These are joint works with Rupert Frank.

4089

Thursday 9/21 2:00 PM

Adam Jacob, UC Davis

The deformed HermitianYangMills equation
 The deformed HermitianYangMills equation
 09/21/2017
 2:00 PM  3:00 PM
 C304 Wells Hall
 Adam Jacob, UC Davis
In this talk I will discuss a complex generalization of the special Lagrangian graph equation of HarveyLawson. I will discuss methods for constructing solutions, and relate the solvability of the equation with notions of stability from symplectic and algebraic geometry. This is joint work with T.C. Collins and S.T. Yau.

4122

Thursday 9/21 3:00 PM

Dapeng Zhan, MSU

Parametrized SLE curves with selfsimilarity and stationary increments
 Parametrized SLE curves with selfsimilarity and stationary increments
 09/21/2017
 3:00 PM  3:50 PM
 C405 Wells Hall
 Dapeng Zhan, MSU
We describe an SLE$_\kappa$ curve, $\kappa\in(0,8)$, which is parametrized by $(d:=1+\frac \kappa 8)$dimensional Minkowski content, and has selfsimilarity of exponent $1/d$ and stationary increments. We then prove that such SLE$_\kappa$ curve is $\alpha$H\"older continuous for any $\alpha<1/d$, and Mckean's dimension theorem holds for this curve.

5134

Friday 9/22 4:00 PM

Rodrigo Bezerra Matos, MSU

Introduction to ergodic Schrodinger operators I
 Introduction to ergodic Schrodinger operators I
 09/22/2017
 4:00 PM  5:00 PM
 C117 Wells Hall
 Rodrigo Bezerra Matos, MSU
This is the first introductory talk of the reading seminar. The main goals are to show that spectra of ergodic operators are almost surely invariant, and to introduce several important objects such as the integrated density of states.

5142

Monday 9/25 3:00 PM

Duff BakerJarvis, MSU

An Introduction to Hecke Algebras
 An Introduction to Hecke Algebras
 09/25/2017
 3:00 PM  3:50 PM
 C304 Wells Hall
 Duff BakerJarvis, MSU
No abstract available.

4090

Monday 9/25 4:10 PM

Tye Lidman, NCSU

Band surgeries between knots
 Band surgeries between knots
 09/25/2017
 4:10 PM  5:30 PM
 C304 Wells Hall
 Tye Lidman, NCSU
Attaching a halftwisted band to a knot produces a nonorientable cobordism to a new knot. The knots which admit such band moves to the unknots are quite simple  they are all cabled knots. We characterize when there exists such a band move between other families of knots. This is joint work with Allison Moore.

5145

Tuesday 9/26 11:00 AM

Matthew Cha, Michigan State University

Reading seminar on Topological Insulators
 Reading seminar on Topological Insulators
 09/26/2017
 11:00 AM  12:00 PM
 C304 Wells Hall
 Matthew Cha, Michigan State University
In the study of quantum phases, the concept of topological invariant has emerged as a new paradigm beyond that of Landau theory. The relevance of topology for the classification of phases has been known since the discovery of the quantum hall effect. However, recent theoretical and experimental discoveries of new topological insulators has led to a renewed interest. The purpose of this reading group is to explore both recent and classical results for topological insulators including but not limited to (1) bulkboundary correspondence (2) Ktheoretic classification of topological insulators (3) topological invariants in the presence of disorder (4) quantization of Hall conductance in interacting systems.

5140

Tuesday 9/26 3:00 PM

John Bergdall, MSU

Introduction to the arithmetic of modular forms.
 Introduction to the arithmetic of modular forms.
 09/26/2017
 3:00 PM  3:50 PM
 C304 Wells Hall
 John Bergdall, MSU
This is part of a 3 lecture series. The ultimate purpose of this lecture series is to explain a recent conjecture made jointly with Robert Pollack. The conjecture itself is about coarse padic invariants of modular forms called slopes, which are nothing other than the norms of the eigenvalues of a certain operator. By way of motivation, I will start by first discussing modular forms with a bias towards the arithmetic context of the Langlands program. The second talk will be reserved for exposing what one might call padic methods for modular forms. These have been around since the 70’s and 80’s and they are central to research on “padic Langlands” over the past 15 years. Finally, I will aim to state precisely the conjecture (called the ghost conjecture) Pollack and I have made and explain its numerical and theoretical evidence.

5137

Tuesday 9/26 4:10 PM

Robert Davis, MSU

A Combinatorial Description of Schur Functions
 A Combinatorial Description of Schur Functions
 09/26/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Robert Davis, MSU
A symmetric function is a formal power series in countably many variables that is fixed under any permutation of the indices of the variables. The set of symmetric functions forms a vector space (actually, a graded algebra), and so it is natural to look for convenient bases of the space. In this talk, we will describe four "easy" bases and one more subtle, but much more important, basis, called the basis of Schur functions. We will give the combinatorial definition of Schur functions and highlight some of its uses in various branches of mathematics.

5141

Thursday 9/28 10:00 AM

Alexander Shapiro, University of Toronto

Positive representations of quantum groups
 Positive representations of quantum groups
 09/28/2017
 10:00 AM  10:50 AM
 C304 Wells Hall
 Alexander Shapiro, University of Toronto
Positive representations are certain bimodules for a quantum group and its modular dual. In 2001, Ponsot and Teschner constructed these representations for U_q(\mathfrak{sl}_2) and proved that they form a continuous braided monoidal category, where the word "continuous" means that a tensor product of two representations decomposes into a direct integral rather than a direct sum. Ten years later, their construction was generalized to all other types by Frenkel and Ip. Although the corresponding categories were braided more or less by construction, it remained a conjecture that they are monoidal. Following a joint work with Gus Schrader, I will discuss the proof of this conjecture for U_q(\mathfrak{sl}_n). The proof is based on our previous result where the quantum group is realized as a quantum cluster \mathcal Xvariety. If time permits, I will outline a relation between this story and the modular functor conjecture in higher Teichmüller theory along with several other applications.

4097

Thursday 9/28 11:00 AM

Günter Stolz, University of Alabama Birmingham

Localization in the droplet spectrum of the random XXZ spin chain
 Localization in the droplet spectrum of the random XXZ spin chain
 09/28/2017
 11:00 AM  12:00 PM
 C304 Wells Hall
 Günter Stolz, University of Alabama Birmingham
The XXZ quantum spin chain in random exterior field is one of the models where numerics indicate the existence of a manybody localization transition. We will discuss recent joint work with Alexander Elgart and Abel Klein, which provides rigorous results on the localization side of the expected transition. We show several of the accepted manifestations of MBL at the bottom of the spectrum for the random XXZ chain in the Ising phase. In this regime spins form quasiparticles in the form of droplets (of, say, downspins in a sea of upspins), which become fully localized under the addition of a random field.

4105

Thursday 9/28 2:00 PM

Renaud Detcherry, MSU

Turaev Viro invariants and Gromov norm
 Turaev Viro invariants and Gromov norm
 09/28/2017
 2:00 PM  3:00 PM
 C304 Wells Hall
 Renaud Detcherry, MSU
According to Chen and Yang's volume conjecture, the asymptotics of the TuraevViro invariants of a 3manifold predicts its hyperbolic volume. We show a compatibility between TuraevViro invariants and JSJdecomposition and get an ineqality relating TuraevViro invariants and Gromov norm.

4106

Thursday 9/28 4:10 PM

Günter Stolz, University of Alabama Birmingham

What is manybody localization?
 What is manybody localization?
 09/28/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Günter Stolz, University of Alabama Birmingham
The phenomenon of manybody localization (MBL), as opposed to oneparticle or Anderson localization, has recently received strong attention in the physics and quantum information literature. We will discuss the difference between these two concepts and then propose disordered quantum spin systems as a suitable model to study MBL. Among the possible manifestations of MBL we will mention the absence of manybody (or information) transport as well as area laws for the quantum entanglement of eigenstates. Examples where these properties can be proven include the random XY chain and, more recently, the droplet regime of the random XXZ chain. But many problems remain open.

5146

Monday 10/2 3:00 PM

Thomas Plante

An Introduction to Intersection Theory
 An Introduction to Intersection Theory
 10/02/2017
 3:00 PM  3:50 PM
 C304 Wells Hall
 Thomas Plante
No abstract available.

4118

Monday 10/2 4:10 PM

Thomas Walpuski, MSU

Counting associatives and SeibergWitten equations
 Counting associatives and SeibergWitten equations
 10/02/2017
 4:10 PM  5:30 PM
 C304 Wells Hall
 Thomas Walpuski, MSU
There is a natural functional on the space of orientation 3dimensional submanifolds in a G2manifold. Its critical points are associative submanifolds, a special class of volumeminimizing submanifolds which obey an elliptic deformation theory. Given this, it is a natural question whether one can count associative submanifolds in order to construct an enumerative invariant for G2–manifolds. I will explain several geometric scenarios, which prohibit a naive count of such submanifolds cannot possible be invariant. I will then go on to discuss how (generalized) SeibergWitten equations might help cure these problems.

4099

Tuesday 10/3 11:00 AM

Akos Nagy, Fields Institute/University of Waterloo

BPS monopoles with nonmaximal symmetry breaking and the Nahm transform
 BPS monopoles with nonmaximal symmetry breaking and the Nahm transform
 10/03/2017
 11:00 AM  12:00 PM
 C304 Wells Hall
 Akos Nagy, Fields Institute/University of Waterloo
The notion of “broken symmetry” is central in gauge theories. For BPS monopoles, symmetry breaking can be defined in terms of the eigenvalues of the Higgsfield at infinity. The symmetry breaking is maximal if the eigenvalues are distinct. Monopoles with maximal symmetry breaking have been studied extensively by both mathematicians and physicists for decades now, but little is known about the general case.
In this talk, I will show how to produce monopoles with arbitrary symmetry breaking using the Nahm transform, and I will also outline the construction of its inverse. The inversion heavily uses first order elliptic PDE's on noncompact spaces, more concretely, the theory of Calliastype operators in 3D.
This is a joint project with Benoit Charbonneau.

5138

Tuesday 10/3 4:10 PM

Robert Davis, MSU

Follow the Rules!
 Follow the Rules!
 10/03/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Robert Davis, MSU
Schur functions are among the most useful bases for symmetric functions, but they come at the cost of making certain computations much less obvious than when done in other bases. In particular, how can we determine the coefficients of a product of Schur functions in the basis of Schur functions? There are many equivalent ways to computing these numbers; this talk will discuss jeu de taqin, which is an equivalence among skew tableaux, and apply it to obtain a formulation of the LittlewoodRichardson rule, which answers our question. If time allows, we will discuss other important formulations of this rule.

4125

Wednesday 10/4 4:10 PM

Demetrios Christodoulou, ETH Zurich

The Development of Shocks in Compressible Fluids
 The Development of Shocks in Compressible Fluids
 10/04/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Demetrios Christodoulou, ETH Zurich
The lecture shall trace the history of the theoretical study of the formation and evolution of shocks in compressible fluids, starting with the fundamental work of Riemann, the first work on nonlinear hyperbolic partial differential equations. Riemann considered the case of plane symmetry where the problem reduces to 1 spatial dimension. One milestone in the development of the theory was the work of Sideris who gave the first general proof of the finite time breakdown of smooth solutions in 3 spatial dimensions. Another milestone was the work of Majda who first addressed the problem of the local in time continuation of a shock front as a nonlinear free boundary problem for a nonlinear hyperbolic system of partial differential equations. I shall then discuss my own work, which uses differential geometric methods and resolves the resulting singularities giving a complete description in terms of smooth functions.
My first work studies the maximal smooth development of given smooth initial data, the boundary of the domain of this development, and the behavior of the solution at this boundary. The boundary contains certain singular hypersurfaces which originate from certain singular surfaces. The singular surfaces do occur in nature, but not the singular hypersurfaces. My second work studies the physical evolution beyond the singular surfaces by solving a nonlinear free boundary problem with singular initial conditions associated to each of the singular surfaces. From each singular surface a shock hypersurface issues which appears as the corresponding free boundary.

5150

Thursday 10/5 10:00 AM

Leonid Chekov, Michigan State University

Cluster algebras of geometric type I
 Cluster algebras of geometric type I
 10/05/2017
 10:00 AM  10:50 AM
 C304 Wells Hall
 Leonid Chekov, Michigan State University
I will describe how cluster algebras arise in hyperbolic geometry of Riemann surfaces \Sigma_{g,s} with s>0 holes with the identification of cluster variables with Penner's lambda lengths, Xvariables with shear coordinates, and terms of exchange matrices  with coefficients of Poisson relations between the shear coordinates. I also describe sets of geodesic functions and their algebras induced by semiclassical/quantum relations for the shear coordinates.

5147

Thursday 10/5 11:00 AM

Matthew Cha

Reading Seminar on Topological Insulators
 Reading Seminar on Topological Insulators
 10/05/2017
 11:00 AM  12:00 PM
 C304 Wells Hall
 Matthew Cha
In the study of quantum phases, the concept of topological invariant has emerged as a new paradigm beyond that of Landau theory. The relevance of topology for the classification of phases has been known since the discovery of the quantum hall effect. However, recent theoretical and experimental discoveries of new topological insulators has led to a renewed interest. The purpose of this reading group is to explore both recent and classical results for topological insulators including but not limited to (1) bulkboundary correspondence (2) Ktheoretic classification of topological insulators (3) topological invariants in the presence of disorder (4) quantization of Hall conductance in interacting systems.

4124

Thursday 10/5 2:00 PM

Thomas Walpuski, MSU

Wallcrossing for the SeibergWitten equation with two spinors
 Wallcrossing for the SeibergWitten equation with two spinors
 10/05/2017
 2:00 PM  3:00 PM
 C304 Wells Hall
 Thomas Walpuski, MSU
Unlike for the classical SeibergWitten equation, compactness fails for the SeibergWitten equation with multiple spinors. This noncompactness is caused by Fueter sections with values in the moduli space of charge 1 SU(n) ASD instantons. In the simplest case, n = 2, those are Z/2 harmonic spinors. In this talk I will explain in more detail what the preceding sentences mean and then discuss the wallcrossing caused by the appearance of (nonsingular) Z/2 harmonic spinors. Time permitting, I will discuss how our wallcrossing formulae can be used to prove the existence of singular Fueter sections.
This is joint work with Aleksander Doan.

4092

Thursday 10/5 4:10 PM

Björn Sandstede, Brown University

Nonlinear stability of sources
 Nonlinear stability of sources
 10/05/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Björn Sandstede, Brown University
Defects are interfaces that mediate between two wave trains with possibly different wave numbers. Of particular interest in applications are sources for which the group velocities of the wave trains to either side of the defect point away from the interface. While sources are ubiquitous in experiments and can be found easily in numerical simulations of appropriate models, their stability analysis still presents many challenges. One difficulty is that sources are not travelling waves but are timeperiodic in an appropriate moving coordinate frame. A second difficulty is that perturbations are transported towards infinity, which makes it difficult to apply various commonly used approaches. In this talk, I will discuss nonlinear stability results for sources in general reactiondiffusion system and outline a proof that utilizes pointwise estimates.

5155

Friday 10/6 4:00 PM

Zak Tilocco, MSU

Introduction to ergodic Schrodinger operators II
 Introduction to ergodic Schrodinger operators II
 10/06/2017
 4:00 PM  5:00 PM
 C517 Wells Hall
 Zak Tilocco, MSU
This is the second introductory lecture, mostly devoted to the definition of the integrated density of states and related concepts.

5144

Friday 10/6 4:10 PM

Andres Zuniga , Indiana University

A geometric approach for the heteroclinic connection problem for multiwell gradient systems
 A geometric approach for the heteroclinic connection problem for multiwell gradient systems
 10/06/2017
 4:10 PM  5:00 PM
 C100 Wells Hall
 Andres Zuniga , Indiana University
Linked Abstract

5152

Monday 10/9 3:00 PM

John Machacek, MSU

Gröbner Basis
 Gröbner Basis
 10/09/2017
 3:00 PM  3:50 PM
 C304 Wells Hall
 John Machacek, MSU
We will define a Gröbner basis which is a particular nice generating set for an ideal that has applications in solving polynomial equations, testing ideal membership, and elimination theory.

5154

Monday 10/9 4:10 PM

Thomas Walpuski, MSU

Counting associatives and SeibergWitten equations (2)
 Counting associatives and SeibergWitten equations (2)
 10/09/2017
 4:10 PM  5:30 PM
 C304 Wells Hall
 Thomas Walpuski, MSU
There is a natural functional on the space of orientation 3dimensional submanifolds in a G2manifold. Its critical points are associative submanifolds, a special class of volumeminimizing submanifolds which obey an elliptic deformation theory. Given this, it is a natural question whether one can count associative submanifolds in order to construct an enumerative invariant for G2–manifolds. I will explain several geometric scenarios, which prohibit a naive count of such submanifolds cannot possible be invariant. I will then go on to discuss how (generalized) SeibergWitten equations might help cure these problems.

5156

Tuesday 10/10 11:00 AM

Jeffrey Schenker

Reading Seminar on Topological Insulators
 Reading Seminar on Topological Insulators
 10/10/2017
 11:00 AM  12:00 PM
 C304 Wells Hall
 Jeffrey Schenker
No abstract available.

5136

Tuesday 10/10 1:30 PM


Mathematics Education Colloquium
 Mathematics Education Colloquium
 10/10/2017
 1:30 PM  3:00 PM
 252 EH

Title: Students’ graphing activities: Representations of what?
Abstract:
Students’ representational activities are key to their mathematical development. Specifically, students’ representational activities in constructing displayed graphs can afford them the figurative material necessary to engage in and abstract mental operations. In this talk, I draw on Piagetian ideas to frame the sophistication of students’ ways of thinking for graphing. Namely, I illustrate distinctions between those ways of thinking dominated by sensorimotor experience and those ways of thinking dominated by the coordination of mental actions. Against the backdrop of these distinctions, I argue that we, as educators and researchers, need to broaden students’ representational experiences. Instructionally, doing so can afford students increased opportunities to construct productive and generative ways of thinking for mathematical ideas and concepts. In terms of research, broadening students’ representational experiences enables researchers to form more viable and detailed working hypotheses of students’ ways of thinking for graphing and related topics.

5158

Tuesday 10/10 3:00 PM

John Bergdall, MSU

Introduction to the arithmetic of modular forms. Part II.
 Introduction to the arithmetic of modular forms. Part II.
 10/10/2017
 3:00 PM  4:00 PM
 C304 Wells Hall
 John Bergdall, MSU
This is part of a 3 lecture series. The ultimate purpose of this lecture series is to explain a recent conjecture made jointly with Robert Pollack. The conjecture itself is about coarse padic invariants of modular forms called slopes, which are nothing other than the norms of the eigenvalues of a certain operator. By way of motivation, I will start by first discussing modular forms with a bias towards the arithmetic context of the Langlands program. The second talk will be reserved for exposing what one might call padic methods for modular forms. These have been around since the 70’s and 80’s and they are central to research on “padic Langlands” over the past 15 years. Finally, I will aim to state precisely the conjecture (called the ghost conjecture) Pollack and I have made and explain its numerical and theoretical evidence.

5153

Tuesday 10/10 4:10 PM

Duff BakerJarvis, MSU

Schur Symmetric Functions and Their Analogues, Part 1
 Schur Symmetric Functions and Their Analogues, Part 1
 10/10/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Duff BakerJarvis, MSU
I will continue to discuss some properties of the Schur symmetric functions
and then talk about some algebras related to the algebra of symmetric functions, such as noncommutative symmetric functions. In these related algebras I will discuss some analogues of the Schur symmetric functions and their properties.

5157

Wednesday 10/11 4:10 PM

Zhe Zhang, MSU

TBA
 TBA
 10/11/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Zhe Zhang, MSU
No abstract available.

5135

Wednesday 10/11 4:10 PM

Tyler Bongers, MSU

Stretching and Rotation Sets of Quasiconformal Maps
 Stretching and Rotation Sets of Quasiconformal Maps
 10/11/2017
 4:10 PM  5:00 PM
 C517 Wells Hall
 Tyler Bongers, MSU
Quasiconformal maps in the plane are orientation preserving homeomorphisms that satisfy certain distortion inequalities; infinitesimally, they map circles to ellipses of bounded eccentricity. Such maps have many useful geometric distortion properties, and yield a flexible and powerful generalization of conformal mappings. In this work, we study the singularities of these maps, in particular the sizes of the sets where a quasiconformal map can exhibit given stretching and rotation behavior. We improve results by AstalaIwaniecPrauseSaksman and Hitruhin to give examples of stretching and rotation sets with nonsigmafinite measure at the appropriate Hausdorff dimension.

5151

Thursday 10/12 10:00 AM

Leonid Chekov, Michigan State University

Cluster algebras of geometric type II
 Cluster algebras of geometric type II
 10/12/2017
 10:00 AM  10:50 AM
 C304 Wells Hall
 Leonid Chekov, Michigan State University
In the second part, I generalize the above structures to the case of Riemann surfaces \Sigma_{g,s,n}  R.s. with holes and decorated boundary cusps on hole boundaries. There, an interesting phenomenon occurs: (i) we have to consider generalized cluster transformations; (ii) we can establish 11 correspondence between (extended) shear coordinates and lambdalengths, so we can investigate both Poisson and symplectic structures on the both sets of variables.

4098

Thursday 10/12 11:00 AM

Otis Chodosh

Large scale geometry of asymptotically flat 3manifolds
 Large scale geometry of asymptotically flat 3manifolds
 10/12/2017
 11:00 AM  12:00 PM
 C304 Wells Hall
 Otis Chodosh
Abstract: I will discuss recent work concerning the isoperimetric structure of asymptotically flat 3manifolds and its relationship to the ADM and Hawking masses. This is joint work with M. Eichmair, Y. Shi, and H. Yu.

5159

Thursday 10/12 2:00 PM

Wenzhao Chen, MSU

A lower bound for the double slice genus
 A lower bound for the double slice genus
 10/12/2017
 2:00 PM  3:00 PM
 C304 Wells Hall
 Wenzhao Chen, MSU
Every knot in the 3sphere can be realized as a crosssection of some unknotted surface in the 4sphere. For a given knot, the least genus of any of such surface is defined to be its double slice genus. Obviously twice the slice genus of a knot is a lower bound for its double slice genus. One really basic question is whether the double slice genus can be arbitrarily large compared to twice the slice genus. However, this was not answered due to the lack of lower bounds for the double slice genus. In this talk I will introduce a lower bound that can be used to answer this question.

4093

Thursday 10/12 4:10 PM

Frank Sottile, Texas A&M University

Galois groups in Enumerative Geometry and Applications
 Galois groups in Enumerative Geometry and Applications
 10/12/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Frank Sottile, Texas A&M University
In 1870 Jordan explained how Galois theory can be applied
to problems from enumerative geometry, with the group encoding intrinsic structure of the problem. Earlier Hermite showed the equivalence of Galois groups with geometric monodromy groups, and in 1979 Harris initiated the modern study of Galois groups of enumerative problems. He posited that a Galois group should be `as large as possible' in that it will be the largest group preserving internal symmetry in the geometric problem.
I will describe this background and discuss some work
in a longterm project to compute, study, and use Galois
groups of geometric problems, including those that arise
in applications of algebraic geometry. A main focus is
to understand Galois groups in the Schubert calculus, a
wellunderstood class of geometric problems that has long
served as a laboratory for testing new ideas in enumerative
geometry.

5164

Monday 10/16 3:00 PM

Chuangtian Guan, MSU

Introduction to Affine Group Schemes
 Introduction to Affine Group Schemes
 10/16/2017
 3:00 PM  3:50 PM
 C304 Wells Hall
 Chuangtian Guan, MSU
No abstract available.

5161

Tuesday 10/17 4:10 PM

Duff BakerJarvis, MSU

Schur Symmetric Functions and Their Analogues, Part 2
 Schur Symmetric Functions and Their Analogues, Part 2
 10/17/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Duff BakerJarvis, MSU
I will continue to discuss some properties of the Schur symmetric functions
and then talk about some algebras related to the algebra of symmetric functions, such as
noncommutative symmetric functions. In these related algebras I will discuss some analogues
of the Schur symmetric functions and their properties.

5165

Wednesday 10/18 4:20 PM

Woongbae Park, MSU

DiracHarmonic maps and its bubble
 DiracHarmonic maps and its bubble
 10/18/2017
 4:20 PM  5:10 PM
 C304 Wells Hall
 Woongbae Park, MSU
In this talk I present the general phenomenon of bubble in harmonic map case and extend it to DiracHarmonic map case.
Especially we discuss the difficulty to make bubble in DiracHarmonic case.

5163

Thursday 10/19 10:00 AM

Eric Bucher, MSU

Component Preserving Mutations and Maximal Green Sequences
 Component Preserving Mutations and Maximal Green Sequences
 10/19/2017
 10:00 AM  10:50 AM
 C304 Wells Hall
 Eric Bucher, MSU
In this talk we will outline the study of maximal green sequences for cluster algebras. We will discuss new results which allow one to define component preserving mutations for quivers, and utilize them to create maximal green sequences by considering maximal green sequences for induced subquivers. This is ongoing work with John Machacek and three undergraduate researchers here at Michigan State University, Ethan Zewde, Evan Runberg, and Abe Yeck

4115

Thursday 10/19 2:00 PM

Elmas Irmak, Bowling Green State University

Simplicial Maps of Complexes of Curves and Mapping Class Groups of Surfaces
 Simplicial Maps of Complexes of Curves and Mapping Class Groups of Surfaces
 10/19/2017
 2:00 PM  3:00 PM
 C304 Wells Hall
 Elmas Irmak, Bowling Green State University
I will talk about recent developments on simplicial maps of complexes of curves on both orientable and nonorientable surfaces. I will also talk about joint work with Prof. Luis Paris. We prove that on a compact, connected, nonorientable surface of genus at least 5, any superinjective simplicial map from the twosided curve complex to itself is induced by a homeomorphism that is unique up to isotopy. As an application we give classification of injective homomorphisms from finite index subgroups of the mapping class group to the whole group.

4129

Thursday 10/19 4:10 PM

Laura DeMarco, Northwestern University

Complex dynamics and elliptic curves
 Complex dynamics and elliptic curves
 10/19/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Laura DeMarco, Northwestern University
In this talk, I will present some connections between recent research in dynamical systems and the classical theory of elliptic curves and rational points. The main goal is to explain the role of dynamical stability and bifurcations in deducing arithmetic finiteness statements. I will focus on three examples: (1) the theorem of Mordell and Weil from the 1920s, presented from a dynamical point of view; (2) a recent result of Masser and Zannier about torsion points on elliptic curves, and (3) features of the Mandelbrot set.

5139

Friday 10/20 4:10 PM

Laura DeMarco, Northwestern University

The Mandelbrot set: what we know today
 The Mandelbrot set: what we know today
 10/20/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Laura DeMarco, Northwestern University
The Mandelbrot set is one of the most famous objects in modern mathematics. We see images of it everywhere, but despite its popularity and decades of research, we still don't fully understand it. I will survey results about the Mandelbrot set, from its discovery to today.

6163

Monday 10/23 12:00 PM

Shiv Karunakaran, MSU

Uses of Neurocognitive Measures to Evaluate Cognitive Load During the Process of Proving
 Uses of Neurocognitive Measures to Evaluate Cognitive Load During the Process of Proving
 10/23/2017
 12:00 PM  1:00 PM
 212 North Kedzie
 Shiv Karunakaran, MSU
A recent special issue of ZDM (June 2016) made the case for increasing the interdisciplinary collaboration between researchers in the fields of mathematics education and cognitive neuroscience. Specifically, Ansari and Lyons (2016) argued for increasing the ecological validity of the testing situations and specific [neurocognitive] tests used to measure mathematical processing” (pp. 379380). To this end, Ansari and Lyons (2016) suggest that it would be useful to explore the use of lowercost and less invasive neuroimaging methods such as Near Infrared Spectroscopy (NIRS). The study reported on in this talk serves as a “proofofconcept” for the use of Frontal NearInfrared Spectroscopy (fNIRS) to measure the level of cognitive load of the brain under mathematical processing. The talk will address the pros and cons of using neurocognitive measures, such as the fNIRS, to measure and examine the physiological stresses of the brain under the complex mathematical process of proving. It will also explore future studies designed to better understand the role and influence of neurocognitive structures (such as working memory capacity) in mathematical problem solving.

6167

Monday 10/23 3:00 PM

John Machacek, MSU

Monomial Ideals
 Monomial Ideals
 10/23/2017
 3:00 PM  3:50 PM
 C304 Wells Hall
 John Machacek, MSU
We will discuss monomial ideals and touch on connections with combinatorics and computational complexity

6165

Monday 10/23 4:10 PM

Selman Akbulut, MSU

Rational and integral homology balls
 Rational and integral homology balls
 10/23/2017
 4:10 PM  5:30 PM
 C304 Wells Hall
 Selman Akbulut, MSU
I will explain how to generate infinite families of rational balls from figure eight knot, which bound Rohlin invariant one Brieskorn homology spheres (a joint work with Kyle Larson). I will then discuss the question of when a contractible manifold fails to be a cork; this happens either if there is no exotic involution on its boundary, or it fails to be Stein. I will give examples of Stein noncorks, and nonStein nonloose corks. I will discuss open questions of whether there are loosecorks that can not be corks, or if there are infinite order corks (this part is a joint work with Danny Ruberman).

6168

Tuesday 10/24 10:00 AM

Gregg Musiker, University of Minnesota

Beyond Aztec Castles and from Dungeons to Dragons
 Beyond Aztec Castles and from Dungeons to Dragons
 10/24/2017
 10:00 AM  10:50 AM
 C304 Wells Hall
 Gregg Musiker, University of Minnesota
In this talk I will discuss certain tessellations of the torus, known as brane tilings, and highlight how cluster algebras give rise to connections between combinatorics and physics. In particular, I will focus on algebraic and combinatorial formulas arising from quivers associated to del Pezzo surfaces and how such formulas allow us to investigate anew perfect matching problems of Propp from the turn of the century.

6166

Tuesday 10/24 3:00 PM

John Bergdall, MSU

Slopes of modular forms and the ghost conjecture.
 Slopes of modular forms and the ghost conjecture.
 10/24/2017
 3:00 PM  4:00 PM
 C304 Wells Hall
 John Bergdall, MSU
Abstract: In the previous two talks I discussed modular forms and their generalization padic modular forms. The space of padic modular forms is a padic Banach space equipped with an important operator U (the pth Hecke operator). In this talk I will explain a conjecture recently formulated by Pollack and myself on the padic norms of eigenvalues of the Uoperator acting on padic modular forms. Surprisingly, our description of these norms is completely elementary. If time permits I will discuss some of the evidence we have for our conjecture and its natural generalizations.

6164

Tuesday 10/24 4:10 PM

Gregg Musiker, University of Minnesota

A Combinatorial Formula for Birational Rowmotion on Rectangular Posets
 A Combinatorial Formula for Birational Rowmotion on Rectangular Posets
 10/24/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Gregg Musiker, University of Minnesota
We investigate iterated applications of a dynamic known as birational rowmotion on rectangular posets, i.e. the product of two chains. We obtain a combinatorial formula stated in terms of the weighted enumeration of nonintersecting lattice paths. This work began at the 2015 AIM (American Institute of Mathematics) Workshop on Dynamical Algebraic Combinatorics. We thank AIM for its hospitality.

4094

Thursday 10/26 4:10 PM

Alan Reid, Rice University

Arithmetic of Dehn surgery points and Azumaya algebras
 Arithmetic of Dehn surgery points and Azumaya algebras
 10/26/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Alan Reid, Rice University
Associated to a finite volume hyperbolic 3manifold is a
number field and a quaternion algebra over that number field. Closed hyperbolic 3manifolds arising from Dehn surgeries on a hyperbolic knot complement provide a family of number fields and quaternion algebras that can be viewed as "varying" over a certain curve component (the socalled canonical component) of the SL(2,C)character variety of the knot group. This talk will give examples of different behavior and survey recent work on how the varying behavior can be explained using the language of Azumaya algebras over the canonical curve.

5149

Friday 10/27 4:10 PM

Prof. Fatih Celiker, Department of Mathematics, Wayne State University

Novel nonlocal operators in arbitrary dimension enforcing local boundary conditions
 Novel nonlocal operators in arbitrary dimension enforcing local boundary conditions
 10/27/2017
 4:10 PM  5:00 PM
 C100 Wells Hall
 Prof. Fatih Celiker, Department of Mathematics, Wayne State University
Abstract: We present novel nonlocal governing operators in 2D/3D for
wave propagation and diffusion that enforce local boundary conditions
(BC). The main ingredients are periodic, antiperiodic, and mixed
extensions of kernel functions together with even and odd parts of
bivariate functions. We present all possible 36 different types of BC
in 2D which include pure and mixed combinations of Neumann, Dirichlet,
periodic, and antiperiodic BC. Our construction is systematic and
easy to follow. We provide numerical experiments that validate our
theoretical findings. We also compare the solutions of the classical
wave and heat equations to their nonlocal counterparts.

4100

Thursday 11/2 11:00 AM

Marius Lemm, IAS

TBA
 TBA
 11/02/2017
 11:00 AM  12:00 PM
 C304 Wells Hall
 Marius Lemm, IAS
No abstract available.

5128

Thursday 11/2 2:00 PM

Meera Mainkar, Central Michigan University (Visiting MSU this term)

Meera Mainkar
 Meera Mainkar
 11/02/2017
 2:00 PM  3:00 PM
 C304 Wells Hall
 Meera Mainkar, Central Michigan University (Visiting MSU this term)
TBA

5162

Thursday 11/2 4:10 PM

Mike Hill, UCLA

TBA
 TBA
 11/02/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Mike Hill, UCLA
No abstract available.

5143

Thursday 11/9 2:00 PM

Bert Guillou, University of Kentucky

TBA
 TBA
 11/09/2017
 2:00 PM  3:00 PM
 C304 Wells Hall
 Bert Guillou, University of Kentucky
No abstract available.

4109

Friday 11/10 4:10 PM

Ben Schmidt, Mathematics, MSU

TBA
 TBA
 11/10/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Ben Schmidt, Mathematics, MSU
No abstract available.

5160

Wednesday 11/15 3:00 PM

Vladimir, University of Alberta, Chernousov

TBA
 TBA
 11/15/2017
 3:00 PM  4:00 PM
 C304 Wells Hall
 Vladimir, University of Alberta, Chernousov
No abstract available.

4120

Thursday 11/16 2:00 PM

Elizabeth Munch, MSU

TBA
 TBA
 11/16/2017
 2:00 PM  3:00 PM
 C304 Wells Hall
 Elizabeth Munch, MSU
No abstract available.

5148

Friday 11/17 4:10 PM

Gavish Nir, Technion Israel Institute of Technology

A model of highly concentrated electrolyte solutions
 A model of highly concentrated electrolyte solutions
 11/17/2017
 4:10 PM  5:00 PM
 C100 Wells Hall
 Gavish Nir, Technion Israel Institute of Technology
The PoissonNernstPlanck (PNP) theory is one of the most widely used analytical methods to describe electrokinetic phenomena for electrolytes. The model, however, considers isolated charges and thus is valid only for dilute ion concentrations. The key importance of concentrated electrolytes in applications has led to the development of a large family of generalized PNP models. However, the wide family of generalized PNP models fails to capture key phenomena recently observed in experiments and simulations, such as selfassembly, multipletime relaxation, and underscreening in concentrated electrolytes.
In this talk, we derive a thermodynamically consistent meanfield model for concentrated solutions that goes beyond the PNP framework. The result is a modeling framework that contains the essential ingredients for describing electrolytes over the whole range of concentrations  from dilute electrolyte solutions to highly concentrated solution, such as ionic liquids. The model describes selfassembly, multipletime relaxation, and underscreening, and reveals a mechanism of underscreening. Furthermore, the model predicts distinct transport properties which are not governed by EinsteinStokes relations, but are rather effected by interdiffusion and emergence of nanostructure.
Joint work with Doron Elad and Arik Yochelis.

5131

Thursday 11/23 2:00 PM


ThanksgivingNo seminar
 ThanksgivingNo seminar
 11/23/2017
 2:00 PM  3:00 PM
 C304 Wells Hall

No abstract available.

5129

Thursday 11/30 2:00 PM

J.D. Quigley, University of Notre Dame

TBA
 TBA
 11/30/2017
 2:00 PM  3:00 PM
 C304 Wells Hall
 J.D. Quigley, University of Notre Dame
No abstract available.

4110

Friday 12/1 4:10 PM

Rajesh Kulkarni, Mathematics, MSU

TBA
 TBA
 12/01/2017
 4:10 PM  5:00 PM
 C304 Wells Hall
 Rajesh Kulkarni, Mathematics, MSU
No abstract available.

4101

Thursday 12/7 11:00 AM

Jake Fillman, Virginia Tech

TBA
 TBA
 12/07/2017
 11:00 AM  12:00 PM
 C304 Wells Hall
 Jake Fillman, Virginia Tech
No abstract available.
