UIUC Dept. of Mathematics Seminar Calendar

     August 2012           September 2012          October 2012    
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  5  6  7  8  9 10 11    2  3  4  5  6  7  8    7  8  9 10 11 12 13
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                        30

Tuesday, September 11, 2012

Topology Seminar
11:00 am in 243 Altgeld Hall, Tuesday, September 11, 2012

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Submitted by franklan.

Ben Ward (Purdue University)
From pre-Lie to BV
Abstract: We will investigate several extensions of the notion of an operad and consider algebraic structures encoded by and arising from them, including (pre-)Lie, Frobenius, Gerstenhaber and BV structures. Then, motivated by topological questions, we will study the example of $A_{\infty}$ Frobenius algebras and the associated BV (resp. homotopy BV) structure on the Hochschild cohomology (resp. cochains). This is partially joint work with Ralph Kaufmann and Javier Zuniga.

Logic Seminar
1:00 pm in 345 Altgeld Hall, Tuesday, September 11, 2012

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Andrew Arana (UIUC Philosophy and Math)
Transfer in algebraic geometry - Part II
Abstract: The focal question of this talk is to investigate the value of transfer between algebra and geometry, of the sort exemplified by the Nullstellensatz. Algebraic geometers frequently talk of such transfer principles as a "dictionary" between algebra and geometry, & claim that these dictionaries are fundamental to their practice. We'll first need to get clear on what such transfer consists in. We'll then investigate what how such transfer might improve how knowledge is gathered in algebraic geometric practice. --- This talk is a continuation of the talk given in the Logic seminar last week. Enough of a survey of what has come before will be given so that people who missed the first talk, can still attend this talk with profit.

Harmonic Analysis and Differential Equations
1:00 pm in 347 Altgeld Hal, Tuesday, September 11, 2012

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Submitted by vzh.

Jeremy Louis Marzoula [email] (UNC Math)
Quasilinear Schroedinger Equations
Abstract: In this talk, we will discuss joint works with Jason Metcalfe and Daniel Tataru on short time local well-posedness in low-regularity Sobolev spaces for quasilinear Schrödinger equations. Such results are refinements of the pioneering works by Kenig-Ponce-Vega and Kenig-Ponce-Rolvung-Vega, where viscosity methods were used to prove existence of solutions in very high regularity spaces. Our arguments however are purely dispersive. The function spaces in which we show existence are constructed in ways motivated by the results of Mizohata, Ichinose, Doi, and others, including the same authors related to local smoothing estimates.