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SUMMARY:Rigid meromorphic cocycles and p-adic variations of modular forms 
 - Alice Pozzi\, Imperial College London
DTSTART:20220315T143000Z
DTEND:20220315T153000Z
UID:TALK169487@talks.cam.ac.uk
CONTACT:Rong Zhou
DESCRIPTION:A rigid meromorphic cocycle is a class in the first cohomology
  of the group\nSL2(Z[1/p]) acting on the non-zero rigid meromorphic functi
 ons on the Drinfeld\np-adic upper half plane by M¨obius transformation. R
 igid meromorphic cocycles\ncan be evaluated at points of “real multiplic
 ation”\, and their values conjecturally\nlie in composita of abelian ext
 ensions of real quadratic fields\, suggesting striking\nanalogies with the
  classical theory of complex multiplication.\nIn this talk\, we discuss th
 e proof of this conjecture for a special class of rigid\nmeromorphic cocyc
 les. Our proof connects the values of rigid meromorphic\ncocycles to the s
 tudy of certain p-adic variations of Hilbert modular forms.\nThis is joint
  work with Henri Darmon and Jan Vonk.
LOCATION:MR13
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