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1
Topology
 Kursat Sozer, IU
 Extended HQFTs in dimension 2
 10/01/2018
 4:10 PM  5:30 PM
 C304 Wells Hall
Topological quantum field theories (TQFTs), inspired by theoretical physics, produce manifold invariants behaving well under gluing. For every discrete group G, homotopy quantum field theories (HQFTs) are Gequivariant versions of TQFTs. In this talk we define and classify 2dimensional extended HQFTs by generalizing methods introduced for TQFTs by Chris SchommerPries in 2009. We list generators and relations for the extended Gequivariant bordism bicategory and use them to classify 2dimensional extended HQFTs.

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Student Geometry/Topology
 Keshav Sutrave
 Take a walk on a Riemann surface
 10/03/2018
 4:00 PM  5:00 PM
 A202 Wells Hall
This talk will be an introduction to Riemann surfaces, including branched covering and monodromy in this setting. I will prove Riemann's existence theorem of branched covers, illustrate this using algebraic curves, and finish with RiemannHurwitz.
Analysis and PDE
 N. K. Nikolski, University of Bordeaux
 V.Ya.Kozlov's completeness problem
 10/03/2018
 4:10 PM  5:00 PM
 C517 Wells Hall
In 19481950, V.Ya.Kozlov (19142007) stated a series of
interesting geometric properties of dilated systems D(f)= {f(kx): k=
1,2,...} in the spaces L^p(0,1). Since that, no proofs were published.
In particular, for a RademacherHaarWalsh type generator f=
2periodic odd extension of the indicator function of (0,a), 0<a<1,
the system D(f) was claimed to be complete/incomplete for many
particular values of a. We prove all Kozlov's statements and several
new, as well as discuss other geometric properties of D(f).

4
Mathematical Physics and Gauge Theory
 Ramis Movassagh, IBM
 TBA
 10/04/2018
 11:00 AM  12:00 PM
 C304 Wells Hall
No abstract available.
Geometry and Topology
 Artem Kotelskiy, Indiana University
 TBA
 10/04/2018
 2:00 PM  2:50 PM
 C304 Wells Hall
No abstract available.
Colloquium
 Yang Yang, Michigan State University
 TBA (special colloquium)
 10/04/2018
 4:10 PM  5:00 PM
 C304 Wells Hall
No abstract available.

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Topology
 Selman Akbulut, MSU
 A simple family of infinitely many absolutely exotic manifolds
 10/08/2018
 4:10 PM  5:30 PM
 C304 Wells Hall
I wıll demonstrate a smooth 4manifold M, obtained by attaching a 2handle to B^4 along a certain knot K in S^3, which admits infinitely many absolutely exotic copies M_n, n=0,1,2.., such that each copy M_n is obtained by attaching 2handle to a fixed compact smooth contractible manifold W along its boundary Y, along the iterates f^{n}(c) of a knot c in Y by a diffeomorphism f: Y> Y. This generalizes the example I gave in “An exotic 4manifold, Jour. of Diff. Geom. 33, (1991)” which corresponds to the n=1 case.

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Student Geometry/Topology
 Sanjay Kumar
 TBD
 10/10/2018
 4:00 PM  5:00 PM
 A202 Wells Hall
No abstract available.
Analysis and PDE
 N. K. Nikolski, University of Bordeaux
 Dilated systems and multivariable analysis
 10/10/2018
 4:10 PM  5:00 PM
 C517 Wells Hall
Geometric L^2(0,1) properties of dilated function systems D(f)= {f(kx): k= 1,2,...} are discussed, as completeness, Riesz basis property, etc. (Completeness of D(f) for f(x)= 1/x[1/x] is equivalent to the Riemann Hypothesis). The Bohr's lift techniques permit to explain (all) known results and show some new, as well as to discuss open problems.

11
Geometry and Topology
 Matthew Stoffregen, MIT
 An infiniterank summand of the homology cobordism group
 10/11/2018
 2:00 PM  3:00 PM
 C304 Wells Hall
This talk explains a generalization of the techniques that Hom introduced to construct an infiniterank summand of the topologically slice knot concordance group. We generalize Hom's epsiloninvariant to the involutive Heegaard Floer homology constructed by HendricksManolescu. As an application, we see that there is an infiniterank summand of the homology cobordism group, generated by Seifert spaces. The talk will contain a review of involutive Floer homology. This is joint work with Irving Dai, Jen Hom, and Linh Truong.
Colloquium
 Deanna Needell, University of California, Los Angeles
 TBA
 10/11/2018
 4:10 PM  5:00 PM
 C304 Wells Hall
No abstract available.

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Student Geometry/Topology
 Michael Shultz
 TBD
 10/17/2018
 4:00 PM  5:00 PM
 A202 Wells Hall
No abstract available.
Analysis and PDE
 Irina Holmes, MSU and Texas A&M
 Bellman and Bollobas Functions
 10/17/2018
 4:10 PM  5:00 PM
 C517 Wells Hall
No abstract available.

18
Colloquium
 Frank Morgan, Williams College
 Double Soap Bubbles and Densities
 10/18/2018
 4:10 PM  5:00 PM
 C304 Wells Hall
The familiar double soap bubble is the leastarea way to enclose and separate two given volumes in Euclidean space. What if you give space a density, such as r^2 or e^r^2 or e^r^2? The talk will include recent results and open questions. Students welcome.

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Student Geometry/Topology
 Woongbae Park
 TBD
 10/24/2018
 4:00 PM  5:00 PM
 A202 Wells Hall
No abstract available.
Analysis and PDE
 A. N. Karapetyants, Southern Federal University, Rostov on Don, Russia
 On Bergman type spaces of functions of nonstandard growth and some related questions.
 10/24/2018
 4:10 PM  5:00 PM
 C517 Wells Hall
We study various Banach spaces of holomorphic functions on the unit
disc and half plane. As a main question we investigate the boundedness
of the corresponding holomorphic projection. We exploit the idea of
V.P.Zaharyuta, V.I.Yudovich (1962) where the boundedness of the
Bergman projection in Lebesgue spaces was proved using
CalderonZygmund operators. We treat the cases of variable exponent
Lebesgue space, Orlicz space, Grand Lebesgue space and variable
exponent generalized Morrey space. The major idea is to show that the
approach can be applied to a wide range of function spaces. This opens
a door in a sense for introducing and studying new function spaces of
Bergman type in complex analysis. We also study the rate of growth of
functions near the boundary in spaces under consideration and their
approximation by mollifying dilations.

25
Geometry and Topology
 William Worden, Rice University
 TBA
 10/25/2018
 2:00 PM  3:00 PM
 C304 Wells Hall
No abstract available.

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Student Geometry/Topology
 Wenchuan Tian
 TBD
 10/31/2018
 4:00 PM  5:00 PM
 A202 Wells Hall
No abstract available.
