Seminar Calendar
for events the day of Friday, December 2, 2011.

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Questions regarding events or the calendar should be directed to Tori Corkery. 
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Friday, December 2, 2011

Joint seminar: Algebra, Geometry, Combinatorics and Ergodic Theory
1:00 pm   in 241 Altgeld Hall,  Friday, December 2, 2011
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Submitted by ymb.
Sergey Tabachnikov   [email] (Penn State Math)
Higher pentagram maps, weighted directed networks, and cluster dynamics
Abstract: Introduced by R. Schwartz about 20 years ago, the pentagram map acts on plane polygons, considered up to projective equivalence, by drawing the diagonals that connect second-nearest vertices and taking the new polygon formed by their intersections. The pentagram map is a discrete completely integrable system whose continuous limit is the Boussinesq equation, a completely integrable PDE of soliton type. In this talk, I shall describe a new family of discrete completely integrable dynamical systems, including the pentagram map, and explain their connection to the theory of cluster algebras, a new and rapidly growing area with numerous connections to diverse fields of mathematics.

Operator Algebra Study Seminar
2:00 pm   in 341 Altgeld Hall,  Friday, December 2, 2011
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Submitted by savsec2.
Steve Avsec (UIUC Math)
Operator Spaces
Abstract: We will introduce beginning notions in the theory of operator spaces. This talk should be accessible to anyone with a little familiarity with Banach space theory. Please note the time change

Special Department Presentation
4:00 pm   in 245 Altgeld Hall,  Friday, December 2, 2011
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Submitted by seminar.
Results of the feasibility study for the expansion/renovation/upgrading of Altgeld/Illini Halls
Abstract: The results of the feasibility study for the expansion/renovation/upgrading of Altgeld and Illini Halls will be presented. Please plan to attend one of these sessions: Tuesday November 29 2:00-2:50 pm or Friday December 2 4:00-4:50 pm. We will summarize the process, recommendations, and next steps. Please come and view our potential future!

Model Theory and Descriptive Set Theory Seminar
4:00 pm   in 347 Altgeld Hall,  Friday, December 2, 2011
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Submitted by phierony.
Philipp Hieronymi (UIUC)
Interpreting the projective hierarchy in expansions of the ordered set of real numbers
Abstract: We give a powerful criterion when an expansion of the ordered set of real numbers defines the image of $(\mathbb{R},+,\cdot,\mathbb{N})$ under a semialgebraic injection. In particular, we show that for a non-quadratic irrational number $\alpha$, the expansion of the ordered $\mathbb{Q}(\alpha)$-vector space of real numbers by $\mathbb{N}$ interprets $(\mathbb{R},+,\cdot,\mathbb{N})$. This is joint work with Michael Tychonievich.