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SUMMARY:p-arithmetic cohomology and p-adic automorphic forms - Guillem Gar
 cia-Tarrach\, University of Cambridge
DTSTART:20211130T143000Z
DTEND:20211130T153000Z
UID:TALK162214@talks.cam.ac.uk
CONTACT:Rong Zhou
DESCRIPTION:In the last few decades\, the theory of p-adic modular forms h
 as seen many applications to different problems in number theory. This the
 ory is well-understood\, its central objects of study being overconvergent
  p-adic modular forms. However\, when attempting to generalize the theory 
 to automorphic forms for more general reductive groups\, the picture is le
 ss clear. For example\, there are several different proposed definitions f
 or spaces of p-adic automorphic forms\, such as overconvergent and complet
 ed cohomology. In this talk I will explain more precisely what properties 
 we want such spaces to satisfy and discuss a different proposal\, based on
  the study of the cohomology of p-arithmetic groups with coefficients in p
 -adic locally analytic representations.
LOCATION:MR13
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