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SUMMARY:Intro to the theta correspondence I - Stephen Kudla (University of
  Toronto)
DTSTART:20220802T101500Z
DTEND:20220802T111500Z
UID:TALK176165@talks.cam.ac.uk
DESCRIPTION:In this series of talks\, I will provide a brief introduction 
 to the theta correspondence for non-specialists.\nThe classical theory of 
 theta functions is one of the most basic parts of the theory of modular fo
 rms.\nIts reformulation in terms of representation theory reveals a lot of
  not previously evident structure and\, for example\,\nallows one to trans
 fer automorphic representations between groups in a dual pair.\nI will des
 cribe this theta correspondence and the (regularized) Siegel-Weil formula 
 and Rallis inner product formula\nwhich link the non-vanishing of the corr
 espondence to poles and values of Langlands L-functions.
LOCATION:Seminar Room 1\, Newton Institute
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