Department of

# Mathematics

Seminar Calendar
for events the day of Wednesday, April 26, 2006.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
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30


Wednesday, April 26, 2006

2:00 pm in 143 Altgeld Hall,Wednesday, April 26, 2006

#### Postponed till next week: Geometric Langlands conjecture in characteristic p

###### Thomas Nevins (UIUC Math)

Abstract: A recent(ly posted) manuscript of Braverman-Bezrukavnikov gives a proof of a weak form of the geometric Langlands conjecture for GL_n in characteristic p. I'll explain what the geometric Langlands conjecture says in this setting and give an outline of the method of proof. I'll try to make the talk representation-theoretically self-contained: I won't assume that the audience knows about the ordinary Langlands program or the geometric Langlands program.

3:00 pm in 343 Altgeld Hall,Wednesday, April 26, 2006

#### Topological Sigma Models

###### Josh Guffin (UIUC Physics)

Abstract: I will discuss the A twist of the N=2 nonlinear sigma model. I will show how the correlation functions of this model (when coupled to gravity) give rise to the Gromov-Witten invariants defined on Monday.

4:00 pm in 245 Altgeld Hall,Wednesday, April 26, 2006

#### What is Analytic Number Theory?

###### Bruce Berndt (Department of Mathematics, UIUC)

Abstract: We begin with some personal reflections on why the speaker was destined since birth to become a number theorist. We then discuss multiplicative and additive problems in number theory and how analysis, in particular, complex analysis, can be used to tackle problems in number theory.