Department of

Mathematics


Seminar Calendar
for events the day of Wednesday, October 30, 2019.

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Wednesday, October 30, 2019

3:00 pm in 241 Altgeld Hall,Wednesday, October 30, 2019

On uniform ergodic decomposition

Ruiyuan (Ronnie) Chen (UIUC Math)

Abstract: We will prove Farrell–Varadarajan's uniform ergodic decomposition theorem for countable Borel equivalence relations. The proof we give is based on using the Becker–Kechris comparability lemma to construct uniform conditional probability functions for Borel sets.

4:00 pm in 447 Altgeld,Wednesday, October 30, 2019

A Case for Étale Cohomology

Justin Kelm (Illinois Math)

Abstract: This talk will serve as an introduction to étale cohomology. In particular, I will focus on the shortcomings of Zariski cohomology, why étale maps are a good algebro-geometric substitute for the notion of a "covering map" or "local" diffeomorphism, the technology that étale cohomlogy is built out of, and a basic computation or two that should illuminate why étale cohomology should give rise to a useful Weil cohomology theory.