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Department of Mathematics,
University of California San Diego

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Math 209 - Number Theory

Chandrashekhar Khare

University of Utah

Serre's modularity conjecture for Galois representations

Abstract:

In joint work with Jean-Pierre Wintenberger we have proved Serre's conjectures in some cases. Our work also leads to a strategy to prove the general case of Serre's conjecture. To get the strategy to work, one needs to generalize the modularity lifting results of Wiles and Taylor. These generalizations, while not yet carried out fully, seem relatively accessible. In my talk I will report on this work.

Host: Wee Teck Gan

February 17, 2005

2:00 PM

AP&M 7321

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