Department of

# Mathematics

Seminar Calendar
for events the day of Wednesday, April 12, 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 12, 2006

2:00 pm in 143 Altgeld Hall,Wednesday, April 12, 2006

#### Topological conformal field theories and Frobenius A-infinity algebras

###### Kevin Costello (U. Chicago, Mathematics)

Abstract: I'll show how a kind of "open string theory" is the same as a Frobenius A-infinity algebra, and also how to construct a "closed string theory" structure on Hochschild homology of such an algebra. This implies that this Hochschild homology carries natural operations coming from the homology of moduli spaces of Riemann surface.

3:00 pm in 343 Altgeld Hall,Wednesday, April 12, 2006

#### A Mathematical Example of Mirror Symmetry

###### Yong Fu (UIUC Math)

Abstract: Originating in physics, mirror symmetry in mathematics relates two types of spaces and different theories on these spaces. We study an example of this phenomenon and see how computation on one space leads to results on the other which is otherwise hard to get.

4:00 pm in 245 Altgeld Hall,Wednesday, April 12, 2006
###### No 499 lecture today - visit the Coble Lecture Series, April 11-13

4:00 pm in 314 Altgeld Hall,Wednesday, April 12, 2006

#### On Golod-Shafarevich groups

###### Efim Zelmanov (University of California at San Diego )

Abstract: The talk will focus on groups presented by generators and relators. In 1964 Golod and Shafarevich found a sufficient condition for such groups to be infinite. We will discuss various properties of Golod - Shafarevich groups and their connections with Geometry and Number Theory.

Efim Zelmanov will present the Coble Memorial Lectures April 11-13 at 4 p.m. each day in 314 Altgeld Hall. Tea, coffee and cookies will be served at 3:15 p.m. before the lecture. A reception will be held Tuesday, April 11, at 5 p.m. in 321 Altgeld (Common Room).