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SUMMARY:Character varieties and (\\varphi_L\,\\Gamma_L)-modules  - Peter S
 chneider
DTSTART:20180227T143000Z
DTEND:20180227T153000Z
UID:TALK100366@talks.cam.ac.uk
CONTACT:Jack Thorne
DESCRIPTION:After reviewing old work with Teitelbaum\, in which we constru
 cted the\ncharacter variety X of the additive group o_L in a finite extens
 ion L/Q_p and established\nthe Fourier isomorphism for the distribution al
 gebra of o_L\, I will briefly report on\nmore recent work with Berger and 
 Xie\, in which we establish the theory of\n(\\varphi_L\,\\Gamma_L)- module
 s over X and related it to Galois representations.\nThen I will discuss an
  ongoing project with Venjakob. Our goal is to use this theory\nover X for
  Iwasawa theory. 
LOCATION:MR13
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