Continuous representation theory of p-adic Lie groups

نویسنده

  • Peter Schneider
چکیده

In this paper we give an overview over the basic features of the continuous representation theory of p-adic Lie groups as it has emerged during the last five years. The main motivation for developing such a theory is a possible extension of the local Langlands program to p-adic Galois representations. This is still very much in its infancy. But in the last section we will describe a first approximation to an extended Langlands functoriality principle for crystalline Galois representations. Mathematics Subject Classification (2000). Primary 11S37, 22E50; Secondary 11F70.

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تاریخ انتشار 2006