Seminar Calendar
for events the day of Thursday, March 4, 2010.

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Thursday, March 4, 2010

Group Theory Seminar
1:00 pm   in Altgeld Hall 347,  Thursday, March 4, 2010
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Submitted by kapovich.
Moon Duchin (University of Michigan)
Pushing fillings in groups
Abstract: There are several well-studied group invariants coming from filling inequalities, including Dehn functions and the divergence of geodesics. Focusing on right-angled Artin groups, I'll explain a construction called a "pushing map" that moves fillings around while controlling their volume. I'll give applications for RAAGs, Bestvina-Brady groups, and mapping class groups. This is part of an ongoing group project with Abrams, Brady, Dani, and Young.

Number Theory Seminar
1:00 pm   in 241 Altgeld Hall,  Thursday, March 4, 2010
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Submitted by jarouse.
Riad Masri (University of Wisconsin, Madison)
The asymptotic distribution of Fourier coefficients of modular forms
Abstract: In this talk, I will explain how the asymptotic distribution of the Fourier coefficients of certain modular forms can be studied using equidistribution theorems for Heegner points on modular curves in which the test functions are allowed to grow moderately in the cusps.

Mathematics Colloquium
4:00 pm   in 245 Altgeld Hall,  Thursday, March 4, 2010
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Submitted by clein.
William T. Trotter (Georgia Institute of Technology)
Chains and Antichains in Finite Partially Ordered Sets
Abstract: There are several instances of dual (or nearly dual) theorems involving chains and antichains in finite partially ordered sets. We analyze four interesting cases: (1) Dilworth's theorem and the Greene/Kleitman generalizations; (2) On-line chain and antichain partitioning; (3) families of disjoint maximal chains/antichains; and (4) fibers and co-fibers. The first topic is classic and certainly belongs to the core of combinatorial mathematics, while there are quite new and appealing results on the second and third topics. For the last, there are difficult open problems, but the recent work on the other areas may shed new light on how they should be attacked.