Seminar Calendar
for events the day of Thursday, January 26, 2012.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Thursday, January 26, 2012

Number Theory Seminar
11:00 am   in 241 Altgeld Hall,  Thursday, January 26, 2012
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Submitted by ford.
 Scott Ahlgren (UIUC Math)Mock modular gridsAbstract: We study infinite grids of mock modular forms which are "dual'' in the sense that while reading across the grid gives the coefficients of the first family, reading down the grid gives the coefficients of the second. Each of these grids contains a generating function of number-theoretic or combinatorial interest as its first entry (for example, the smallest parts" function of Andrews, or a mock theta function of Ramanujan) and we deduce many corollaries for these functions.

Lunch Seminar on NetMath
12:05 pm   in 102 Altgeld Hall,  Thursday, January 26, 2012
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Submitted by gfrancis.
 Debra Woods   [email] (Mathematics/Urbana)History and Vision of NetMathAbstract: NetMath is the distance education program of the Mathematics Department of the University of Illinois (Urbana). Its mission is to extend the high quality curriculum of the Mathematics Department at the University of Illinois to students worldwide. Combining innovative pedagogy with tools tailored to our course offerings, NetMath delivers flexible courses that engage students to learn according to their own schedule and learning style. Conceived by Jerry Uhl, Bill Davis and Horatio Porta, the founders of the Calculus and Mathematica Program, NetMath has grown from a few dozen students to over a thousand annually in the two decades of its existence. NetMath‚Äôs vision is to become the premier university program for all students seeking online math instruction worldwide, continuing to set a high standard for online education, and serving as a center for knowledge exchange and springboard for developing and testing innovative learning technology.

Group Theory Seminar
1:00 pm   in Altgeld Hall 347,  Thursday, January 26, 2012
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Submitted by kapovich.
 Robert Craggs (UIUC Math)On doubled 3-manifolds and minimal handle presentations for 4--manifoldsAbstract: We study turning algebraic handle cancellation of certain 2-handle presentations for 4-manifolds of the form $M_* \times [-1,1]$ into geometric handle cancellations. Algebraic here refers to extended Nielsen invariants on group presentations, We show how the cancellation problems leads to obstruction problems involving framed surgery on 3-manifolds. We will report on efforts to calculate some surgery obstructions

2:00 pm   in 241 Altgeld Hall,  Thursday, January 26, 2012
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Submitted by lukyane2.
 Mee Seong Im (UIUC Math)The Hamiltonian reduction of a certain affine variety Abstract: I will discuss certain theories in symplectic geometry and in algebraic geometry which give us various ways to view the same complex manifold. More specifically, the Hamiltonian reduction of the cotangent bundle of a certain variety can be thought of as the symmetric product of the complex plane while the GIT quotient of the same cotangent bundle but which is twisted by a character of the general linear group can be thought of as a certain Hilbert scheme. These varieties are related by the Hilbert-Chow morphism in the sense that one is a desingularization of the other. I will end with an analogous construction in which a notion of noncommutativity appears in the algebro-geometric quotient. Lots of examples will be provided throughout my talk.

Commutative Ring Theory Seminar
3:00 pm   in 243 Altgeld Hall,  Thursday, January 26, 2012
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Submitted by beder.
 Organizational Meeting

5:00 pm   in 241 Altgeld Hall,  Thursday, January 26, 2012
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Submitted by funk3.
 Austin Rochford (UIUC Math)Amenability Across AnalysisAbstract: Part one of a two part talk. We will define amenable groups and explore generalizations of amenability to various areas of analysis. This week we will consider harmonic analysis and ergodic theory.