Department of

Mathematics

Seminar Calendar
for events the day of Monday, October 15, 2018.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Monday, October 15, 2018

3:00 pm in 345 Altgeld Hall,Monday, October 15, 2018

Congruence and Group Cohomology

Ningchuan Zhang (UIUC Math)

Abstract: In this talk, I’ll explain the relation between congruence and (continuous) group cohomology of $\mathbb{Z}_p^\times$-representations in invertible $\mathbb{Z}_p$-modules. The first half of the talk will focus on explicit computations of the two sides (including the $p=2$ case). In the second half, the connection between congruence and group cohomology will be built using the chromatic resolution (Cousin complex) of the $\mathbb{Z}_p^\times$-representations. The discussion here also applies to open subgroups of $\mathbb{Z}_p^\times$.

4:00 pm in 245 Altgeld Hall,Monday, October 15, 2018

Linear analysis on manifolds: the Gauss-Bonnet theorem

Pierre Albin   [email] (Department of Mathematics, University of Illinois at Urbana-Champaign)

Abstract: I'll use the Gauss-Bonnet theorem as an excuse and example to discuss linear analysis. I'll start with compact manifolds and then talk about conformally compact manifolds, a class that shows up both in conformal geometry and in physics as the setting of the `AdS/CFT correspondence'.

5:00 pm in 241 Altgeld Hall,Monday, October 15, 2018

On Talagrand's deviation inequality for product measures

Pavlos Motakis (UIUC)

Abstract: We follow Ledoux's approach to deviation inequalities.