Algebraic Geometry Seminar
Friday, October 27, 2000, 4:00pm, 205 Physics
Minhyong Kim (University of Arizona, Tucson)
P-adic representations of local Galois groups
Abstract:- We will describe parts of Fontaine's theory
of p-adic representations of Galois groups of
local fields of residue characteristic p.
Ideas from p-adic Hodge theory allows
the classifications of representations of
`geometric type' in a manner analogous to, but
richer than the theory of l-adic representations.
It also allows one to `write down' many examples
of representations purely abstractly. We will
introduce the basic notions, discuss their
significance, and look at some examples.
For students, a reasonable introduction to these
ideas might be Fontaine's talk from the ICM,
Warsaw 1983.
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