Seminar Calendar
for events the day of Thursday, October 1, 2009.

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Questions regarding events or the calendar should be directed to Tori Corkery. 
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Thursday, October 1, 2009

Number Theory Seminar
1:00 pm   in 241 Altgeld Hall,  Thursday, October 1, 2009
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Submitted by jarouse.
Alexandru Zaharescu (Department of Mathematics, University of Illinois)
Farey fractions and Kloosterman sums
Abstract: This is an expository talk about Farey fractions and their applications. We focus on connections between Kloosterman sums, Farey fractions, and the Riemann zeta function.

Group theory seminar
1:00 pm   in 347 Altgeld Hall,  Thursday, October 1, 2009
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Submitted by dsrobins.
Derek Robinson (Department of Mathematics, University of Illinois)
The Schur multiplier of a generalized Baumslag-Solitar group
Abstract: A generalized Baumslag-Solitar group (or GBS-group) is the fundamental group of a finite connected graph of groups whose vertex groups are infinite cyclic. It is known that the homology and cohomology of a GBS-group vanish in dimensions 3 and higher. This leaves open the question of dimensions 1 and 2, and in particular the structure of the Schur multiplier of a GBS-group. We will describe a method for computing the multiplier of an arbitrary GBS-group and then give some applications to central extensions by GBS-groups.

Analysis Seminar
2:00 pm   in 243 Altgeld Hall,  Thursday, October 1, 2009
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Submitted by aimo.
Richard Rochberg (Washington University, St. Louis)
The Dirichlet Space and Related Spaces of Holomorphic Functions
Abstract: The Dirichlet space is the space of holomorphic functions on the unit disk with square integrable derivative (i.e. with finite Dirichlet integral). I will discuss recent function theoretic and operator theoretic results for this space of functions and for some related spaces.

Commutative Ring Theory Seminar
3:00 pm   in 243 Altgeld Hall,  Thursday, October 1, 2009
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Submitted by beder.
Jesse Beder (Department of Mathematics, University of Illinois)
Quillen's Theorem on Chow Groups
Abstract: Claborn and Fossum defined, for a commutative ring A, the Chow groups W_i(A) as a generalization to the usual class group. They proved that for A = k[X_1, ..., X_d] or k[[X_1, ..., X_d]], with k a field or complete DVR, that all the groups W_i(A) = 0, and conjectured that this holds for any regular local ring A. I will present Quillen's theorem, which proves this statement when A is essentially of finite type over a field.