Department of

# Mathematics

Seminar Calendar
for events the day of Monday, February 18, 2019.

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events for the
events containing

More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
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Monday, February 18, 2019

1:00 pm in Altgeld Hall,Monday, February 18, 2019

#### To Be Announced

3:00 pm in 243 Altgeld Hall,Monday, February 18, 2019

#### Swindles relating distinct symplectic structures

###### James Pascaleff (UIUC)

Abstract: An interesting phenomenon in symplectic topology is the existence of multiple non-equivalent symplectic structures on a single manifold. Often, such structures can be distinguished by their Fukaya categories. A natural question is whether there is any relationship between these categories. In this talk I will show that in some simple examples the categories are related by functors that are reminiscent of the Eilenberg swindle.

3:00 pm in 341 Altgeld Hall,Monday, February 18, 2019

#### Dense orbits in the space of subequivalence relations

###### Forte Shinko (Caltech)

Abstract: Given a measure-preserving countable Borel equivalence relation $E$, there is a Polish space $S(E)$ of subequivalence relations, which admits a natural action of the full group $[E]$. One can ask the following natural question: does $S(E)$ have a dense orbit? We will present results due to François Le Maître which show that the answer is yes when $E$ is the hyperfinite ergodic equivalence relation, and that the answer is no when $E$ is induced by a measure-preserving action of a property (T) group.

4:00 pm in 245 Altgeld Hall,Monday, February 18, 2019

#### Cohomology of Shimura Varieties

###### Sug Woo Shin (University of California Berkeley)

Abstract: Shimura varieties are a certain class of algebraic varieties over number fields with lots of symmetries, introduced by Shimura and Deligne nearly half a century ago. They have been playing a central role in number theory and other areas. Langlands proposed a program to compute the L-functions and cohomology of Shimura varieites in 1970s; this was refined by Langlands-Rapoport and Kottwitz in 1980s. I will review some old and recent results in this direction.

5:00 pm in 241 Altgeld Hall,Monday, February 18, 2019