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SUMMARY:Refined norm counting in quaternion algebras [MPIM]
DTSTART:20260707T120000Z
DTEND:20260707T130000Z
DTSTAMP:20260712T025400Z
UID:indico-event-1471@math-events.uni-bonn.de
DESCRIPTION:Speakers: Michael Daas (Universität Luxemburg/MPIM)\n\nPLeaSA
 NT\nGross and Zagier related the differences between singular moduli to co
 unting isomorphisms between the mod ell^n reductions of the CM elliptic cu
 rves under consideration. Later\, Howard and Yang refined this by introduc
 ing the CM-degree of an isomorphism\, which takes trace 1 values in a real
  quadratic field. At supersingular primes\, the relevant endomorphism ring
 s are orders in quaternion algebras\, and the degree corresponds to the no
 rm. In this talk\, we explore the above\, and explain how one can count 
 elements in quaternion algebras with a given CM norm. This supports p-adic
  approaches to singular moduli on Shimura curves.\n\nhttps://math-events.u
 ni-bonn.de/event/1471/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1471/
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