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SUMMARY:Fangu Chen (UC Berkeley)
DTSTART:20251201T210000Z
DTEND:20251201T220000Z
DTSTAMP:20260423T040047Z
UID:NTBU/37
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTBU/37/">A 
 generalization of Elkies’ theorem on infinitely many supersingular prime
 s</a>\nby Fangu Chen (UC Berkeley) as part of Boston University Number The
 ory Seminar\n\nLecture held in CDS Room 548 in Boston University.\n\nAbstr
 act\nIn 1987\, Elkies proved that every elliptic curve defined over $\\mat
 hbb{Q}$ has infinitely many supersingular primes. In this talk\, I will pr
 esent an extension of this result to certain abelian fourfolds in Mumford
 ’s families and more generally\, to some Kuga-Satake abelian varieties c
 onstructed from K3-type Hodge structures with real multiplication. I will 
 review Elkies’ proof and explain how his strategy of intersecting with C
 M cycles can be adapted to our setting. I will also discuss some of the te
 chniques in our proof to study the local properties of the CM cycles.\n
LOCATION:https://researchseminars.org/talk/NTBU/37/
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