Department of

# Mathematics

Seminar Calendar
for events the day of Wednesday, December 4, 2013.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
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Wednesday, December 4, 2013

12:00 pm in 335 Grainger Library,Wednesday, December 4, 2013
###### Naira Hovakimyan, MechSE and, Richard Laugesen, Math, Planning with monsieur Bezier and The Laplacian: conjectured spectral bounds. (UIUC MechSE, UIUC Math)

Abstract: Naira Hovakimyan, MechSE and, Richard Laugesen, Math, Planning with monsieur Bezier and The Laplacian: conjectured spectral bounds.

3:00 pm in 143 Altgeld Hall,Wednesday, December 4, 2013

#### Q-Systems, Quivers, and Integrability

###### Harold Williams   [email] (UC Berkeley Math)

Abstract: In this talk we'll discuss a particularly interesting quiver associated with any Cartan matrix, which encodes a certain symplectomorphism as a distinguished sequence of cluster transformations. This map turns out to show up in a number of seemingly disparate contexts: the representation theory of quantum loop algebras, 4d N=2 gauge theories, and factorization problems in simple Lie groups. We'll explain our recent work developing this last connection, which in particular lets us realize these sequences as symmetries of certain integrable systems.

4:00 pm in 245 Altgeld Hall,Wednesday, December 4, 2013

#### Optimization With Topological Constraints

###### Anil Hirani (Department of Mathematics, University of Illinois at Urbana-Champaign)

Abstract: I will discuss solutions for two optimization problems with topological constraints. One is to optimize in a given real cohomology class and the other is to optimize in a given integer homology class.