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SUMMARY:Min Lee (University of Bristol)
DTSTART:20230201T160000Z
DTEND:20230201T170000Z
DTSTAMP:20260418T064236Z
UID:LNTS/89
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/89/">An
  extension of converse theorems to the Selberg class</a>\nby Min Lee (Univ
 ersity of Bristol) as part of London number theory seminar\n\nLecture held
  in Rm. 706\, UCL Department of Mathematics (UCL Union Building).\n\nAbstr
 act\nThe converse theorem for automorphic forms has a long history beginni
 ng with the work of Hecke (1936) and a work of Weil (1967): relating the a
 utomorphy relations satisfied by classical modular forms to analytic prope
 rties of their L-functions and the L-functions twisted by Dirichlet charac
 ters. The classical converse theorems were reformulated and generalised in
  the setting of automorphic representations for GL(2) by Jacquet and Langl
 ands (1970). Since then\, the converse theorem has been a cornerstone of t
 he theory of automorphic representations. \n\nVenkatesh (2002)\, in his th
 esis\, gave new proof of the classical converse theorem for modular forms 
 of level 1 in the context of Langlands’ “Beyond Endoscopy”. In this 
 talk\, we extend Venkatesh’s proof of the converse theorem to forms of a
 rbitrary levels and characters with the gamma factors of the Selberg class
  type. \n\n\nThis is joint work with Andrew R. Booker and Michael Farmer.\
 n
LOCATION:https://researchseminars.org/talk/LNTS/89/
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