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SUMMARY:RVP Lecture:  From modular forms to finite groups - Zagier\, D (Ma
 x-Planck-Institut fuer Mathematik\, Bonn\, and Collge de France\, Paris)
DTSTART:20130409T160000Z
DTEND:20130409T170000Z
UID:TALK44388@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Modular forms occur in many different parts of number theory a
 nd other fields of mathematics.  In this talk we will discuss two places w
 here generalised modular forms appear in connection with the theory of fin
 ite groups.  One is the occurrence of "quasimodular forms" in the represen
 tation theory of symmetric groups (and in related questions concerning cov
 erings of Riemann surfaces)\, the other\, the fairly recent discovery of a
 n unsuspected connection between the theory of "mock modular forms" and th
 e representation theory of one of the sporadic simple groups.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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