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SUMMARY:Eugen Hellmann (Mathematisches Institut Münster)
DTSTART:20210511T143000Z
DTEND:20210511T153000Z
DTSTAMP:20260423T125735Z
UID:MITNT/30
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/30/">O
 n classicality of overconvergent $p$-adic automorphic forms</a>\nby Eugen 
 Hellmann (Mathematisches Institut Münster) as part of MIT number theory s
 eminar\n\n\nAbstract\nI will report on some positive and a negative result
  concerning the question whether a given overconvergent $p$-adic eigenform
  of finite slope is classical or not. \nThe positive result is the general
 ization of a classicality statement (obtained in earlier joint work with B
 reuil and Schraen) to the case of semi-stable Galois representations. This
  classicality result is rather a statement about the Galois representation
  attached to a $p$-adic automorphic form than a statement about the $p$-ad
 ic automorphic form itself. The negative result concerns the classicality 
 problem for the $p$-adic automorphic form itself. If time permits we will 
 discuss some conjectural picture explaining this negative result.\n
LOCATION:https://researchseminars.org/talk/MITNT/30/
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