# Mathematical Sciences Research Institute

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# Seminar

MSRI Evans Talk: Finite dimensional Banach Spaces December 01, 2014 (04:10 PM PST - 05:00 PM PST)
Parent Program: New Geometric Methods in Number Theory and Automorphic Forms 60 Evans Hall, UC Berkeley
Speaker(s) Pierre Colmez (Institut de Mathématiques de Jussieu)
Description No Description
Video
The algebraic closure of the field ${\bf Q}_p$ of $p$-adic number is infinite dimensional over ${\bf Q}_p$, hence its completion ${\bf C}_p$ is also infinite dimensional.  I will describe objects that can be thought of as finite dimensional vector spaces over ${\bf C}_p$ up to finite dimensional ${\bf Q}_p$-vector spaces and explain what kind of properties they have. I will end up with some recent applications.