## EVENT DETAILS AND ABSTRACT

**Geometry/Physics Seminar**
**Title:** Smith theory and Geometric Hecke algebras

**Speaker:** David Treumann

**Speaker Info:** Northwestern

**Brief Description:**

**Special Note**:

**Abstract:**

In 1960 Borel proved a "localization" result relating the
rational cohomology of a topological space X to the rational
cohomology of the fixed points for a torus action on X. This result
and its generalizations have many applications in Lie theory. In
1940, PA Smith proved a similar localization result relating the mod p
cohomology of X to the mod p cohomology of the fixed points for a
Z/p-action on X. I will discuss
Z/p-localization on loop groups, and how it is related via the
geometric Satake correspondence to some special homomorphisms that
exist between algebraic groups over fields of small characteristic,
and to the Frobenius morphism.

**Date:** Thursday, January 6, 2011

**Time:** 4:00pm

**Where:** Lunt 107

**Contact Person:** David Treumann

**Contact email:** treumann@math.northwestern.edu

**Contact Phone:**

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