| Talk_id | Date | Speaker | Title |
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4111
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Thursday 9/7
4:10 PM
|
MSU Postdocs
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Postdoc Lightning Talks
- Postdoc Lightning Talks
- 09/07/2017
- 4:10 PM - 5:00 PM
- C304 Wells Hall
- MSU Postdocs
No abstract available.
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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
|
|
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" (Graber-Harris-Starr) 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 Jong-He-Starr). I will explain these results, some applications to algebra (Serre's "Conjecture II", "Period-Index"), and recent extensions, joint with Chenyang Xu, to "function fields over finite fields" and Ax's "PAC fields".
|
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4106
|
Thursday 9/28
4:10 PM
|
Günter Stolz, University of Alabama Birmingham
|
What is many-body localization?
- What is many-body localization?
- 09/28/2017
- 4:10 PM - 5:00 PM
- C304 Wells Hall
- Günter Stolz, University of Alabama Birmingham
The phenomenon of many-body localization (MBL), as opposed to one-particle 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 many-body (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.
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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.
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4092
|
Thursday 10/5
4:10 PM
|
Björn Sandstede, Brown University
|
TBA
- TBA
- 10/05/2017
- 4:10 PM - 5:00 PM
- C304 Wells Hall
- Björn Sandstede, Brown University
No abstract available.
|
|
4093
|
Thursday 10/12
4:10 PM
|
Frank Sottile, Texas A&M University
|
TBA
- TBA
- 10/12/2017
- 4:10 PM - 5:00 PM
- C304 Wells Hall
- Frank Sottile, Texas A&M University
No abstract available.
|
|
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.
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4094
|
Thursday 10/26
4:10 PM
|
|
TBA
- TBA
- 10/26/2017
- 4:10 PM - 5:00 PM
- C304 Wells Hall
-
No abstract available.
|
