Survey of p-adic representation theory of p-adic groups


Michael Harris

Institut de Mathématiques de Jussieu

Brandeis University

Thursday, February 12, 2004


Talk at 4:30 p.m. in 317 Goldsmith Hall

Tea at 4:00 p.m. in 300 Goldsmith Hall


Abstract:   Continuous representations of p-adic Lie groups with p-adic coeffients arise naturally in a variety of situations in number theory. Attempts to develop a systematic theory of such representations have been hampered by the impossibility of defining Haar measure with p-adic values. Nevertheless, there has been tremendous progress in recent years: Schneider and Teitelbaum have defined a category of p-adic representations to which differential techniques can be applied, Emerton has applied their work to p-adic modular forms, and Breuil has provided evidence for a p-adic local Langlands correspondence. The goal of this talk is to justify the speaker's conviction that this is the branch of representation theory that will see the most striking developments over the next decade.

Home Web page:  Alexandru I. Suciu  Posted: February 1, 2004 
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