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SUMMARY:p-adic Hodge theory in rigid analytic families - Rebecca Bellovin 
 (Imperial College London)
DTSTART:20140128T161500Z
DTEND:20140128T171500Z
UID:TALK49244@talks.cam.ac.uk
CONTACT:James Newton
DESCRIPTION:Broadly speaking\, p-adic Hodge theory is the study of represe
 ntations of Galois groups of p-adic fields on vector spaces with p-adic co
 efficients. One can use the theory of (\\varphi\,\\Gamma)-modules to conve
 rt such Galois representations into simpler linear algebra\, and one can a
 lso classify such representations in terms of how arithmetically interesti
 ng they are. In my talk\, I will discuss extensions of this theory to p-ad
 ic families of Galois representations. Such families arise naturally in th
 e contexts of Galois deformation rings and p-adic modular forms.
LOCATION:MR13
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