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SUMMARY:Local epsilon-isomorphisms in families - Rebecca Bellovin (Imperia
 l)
DTSTART:20171121T143000Z
DTEND:20171121T153000Z
UID:TALK78881@talks.cam.ac.uk
CONTACT:Beth Romano
DESCRIPTION:Given a representation of Gal_{Q_p} with coefficients in a p-a
 dically complete local ring R\, Fukaya and Kato have conjectured the exist
 ence of a canonical trivialization of the determinant of a certain cohomol
 ogy complex.  When R=Z_p and the representation is a lattice\nin a de Rham
  representation\, this trivialization should be related to the \\varepsilo
 n-factor of the corresponding Weil--Deligne representation.  Such a trivia
 lization has been constructed for certain\ncrystalline Galois representati
 ons\, by the work of a number of authors. I will explain how to extend the
 se trivializations to certain families of crystalline Galois representatio
 ns.  This is joint work with Otmar\nVenjakob.
LOCATION:MR13
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