Department of

Mathematics


Seminar Calendar
for events the day of Monday, January 24, 2005.

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Monday, January 24, 2005

11:00 am in 148 Henry,Monday, January 24, 2005

Arithmetic Intersection Theory and Motivic Cohomology

Prof. Henri Gillet   [email] (UIC)

Abstract: I will outline a construction of the arithmetic Chow groups as hypercohomology of a complex of sheaves, using motivic cohomology. This construction has various nice properties. I will try to avoid gruesome details and rather explain the general ideas. [Host: Grayson]

4:00 pm in 245 Altgeld Hall,Monday, January 24, 2005

The role of the geometry of Shimura varieties in the Langlands program

Elena Mantovan (University of California at Berkeley)

Abstract: In a letter to Andre' Weil in 1967, Langlands suggested the existence of a relation between two seemingly unrelated mathematical objects: Galois representations and automorphic representations. Since then, the work of many mathematicians has focused on isolating and constructing algebraic varieties whose geometry is supposed to explain the existence of such correspondences. For correspondences defined over a number field, this role is played by Shimura varieties. In my talk I will discuss some aspects of the geometry of the Shimura varieties and how they reflect Langlands' conjectures.