Seminar Calendar
for Study Seminar in Geometry and Analysis events the year of Wednesday, June 20, 2012.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Wednesday, February 15, 2012

Study Seminar in Geometry and Analysis
3:00 pm   in 347 Altgeld Hall,  Wednesday, February 15, 2012
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Submitted by jathreya.
Organizational Meeting
Abstract: We'll be chatting about the papers we're going to discuss this semester. Possibilities include: 1) Witten's Gauge theoretic interpretation of Kovanov homology of knots (these are they same equations he proposed for Geometric Langlands) 2) Extremals of the determinant of the Laplacian and uniformization. In dimension 2 the fundamental paper would be the one by Osgood, Phillips and Sarnak: http://www-ee.stanford.edu/~osgood/papers/extremals1988.pdf 3)Manning's work on the behavior of volume growth entropy along Ricci Flow in the setting of surfaces.

Wednesday, February 22, 2012

Study Seminar in Geometry and Analysis
3:00 pm   in 347 Altgeld Hall,  Wednesday, February 22, 2012
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Submitted by jathreya.
Jayadev Athreya (UIUC)
Volume growth entropy decreases along Ricci Flow
Abstract: We will sketch Manning's proof that the volume growth entropy for a Riemannian metric on a compact genus $g$ surface decreases along Ricci flow, modulo some black boxes. We will discuss some open problems and make some unfounded speculation.

Wednesday, February 29, 2012

Study Seminar in Geometry and Analysis
3:00 pm   in 345 Altgeld Hall,  Wednesday, February 29, 2012
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Submitted by palbin.
Pierre Albin   [email] (Department of Mathematics, University of Illinois at Urbana-Champaign)
Compactness of isospectral manifolds
Abstract: We will commence our study of the Osgood-Phillips-Sarnak papers on the compactness of isospectral surfaces. I will discuss compactness of isospectral sets of manifolds with a curvature bound. In a follow-up talk I will discuss the case of surfaces.

Wednesday, April 18, 2012

Study Seminar in Geometry and Analysis
3:00 pm   in 345 Altgeld Hall,  Wednesday, April 18, 2012
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Submitted by jathreya.
Pierre Albin (Department of Mathematics, University of Illinois at Urbana-Champaign)
Compactness of Isospectral Surfaces
Abstract: We will continue our discussion of the paper of Osgood-Phillips-Sarnak.