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Thursday, 19th December 2002, 4:00 pm

Mathematics Building, Lecture Hall 2

Yakov Varshavsky

(HU)

On the Langlands' correspondence over function fields

** Abstract: **
Let *F* be a field of rational functions of a curve
over a finite field, and let *A* be the ring of adeles
of *F*. Then Langlands' conjecture for *GL(n)* (proved
by Drinfeld for *n=2* and by Lafforgue in general)
asserts that there is a canonical bijection between
(*l*-adic) *n*-dimensional irreducible representations
of the Galois group of *F* and certain infinite-dimensional
representations of the group *GL(n,A)*.
The aim of my talk is to formulate the result, and
outline the strategy of the proof. If time permits
I will also speak about Langlands' conjecture for
arbitrary reductive groups.

Light refreshments will be served in the faculty lounge at 3:30.

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