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SUMMARY: The search for p-adic automorphic forms - Guillem Garcia Tarrach\
 , University of Cambridge
DTSTART:20211203T150000Z
DTEND:20211203T160000Z
UID:TALK165772@talks.cam.ac.uk
CONTACT:Tom Adams
DESCRIPTION:Modular forms have been a central object of study in number th
 eory for many years. In the 1970s\, Serre introduced p-adic modular forms.
  These are more general objects which\, unlike classical modular forms\, l
 ive in p-adic families. Since then\, the theory of p-adic modular forms ha
 s seen many applications to classical problems in number theory\, especial
 ly in the Langlands program. Modular forms are special cases of more gener
 al objects: automorphic forms and automorphic representations. However\, t
 he concept of a "p-adic automorphic form" is more elusive. In this talk\, 
 I will explain the basics of the theory of (p-adic) modular forms\, what p
 roperties we look for in the more general p-adic automorphic forms\, and s
 ome of their proposed constructions.
LOCATION:CMS MR11
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