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SUMMARY:A generalization of Elkies’ theorem on infinitely many supersing
 ular primes [MPIM]
DTSTART:20261119T140000Z
DTEND:20261119T150000Z
DTSTAMP:20261112T153900Z
UID:indico-event-1786@math-events.uni-bonn.de
DESCRIPTION:Speakers: Fangu Chen (MPIM)\n\nMPI-Oberseminar\nIn 1987\, Elki
 es proved that every elliptic curve defined over $\\mathbb{Q}$ has infinit
 ely many supersingular primes. In this talk\, I will present an extension 
 of this result to certain abelian fourfolds in Mumford’s families and mo
 re generally\, to certain families of Kuga-Satake abelian varieties constr
 ucted from K3-type Hodge structures with real multiplication. I will revie
 w Elkies’ proof and explain how his strategy of intersecting with CM cyc
 les can be adapted to our setting. I will also discuss some of the techniq
 ues in our proof to study the local properties of the CM cycles.\n\nhttps:
 //math-events.uni-bonn.de/event/1786/
URL:https://math-events.uni-bonn.de/event/1786/
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