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DTSTAMP;TZID=America/Vancouver:20221205T103000
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UID:20221205T103000@prima2022.primamath.org
SUMMARY:Primes of ordinary reduction for abelian varieties of type IV 
DESCRIPTION:For A an abelian variety defined over a number field, a conjecture of Serre predicts that the set S of primes of ordinary reduction for A has positive density.  If A is an elliptic curve without CM, Serre proved that S has density 1, and Elkies showed that, if L admits a real embedding, then the complement of S, that is the set of supersingular primes, is infinite.

In this talk, I will discuss generalizations of both Serre's and Elkies’s theorems  to abelian varieties of type IV, that is with multiplication by a CM field, which are parametrized by unitary Shimura curves.

This talk is based on joint work in progress with Victoria Cantoral-Farfan, Wanlin Li, Rachel Pries, and Yunqing Tang.
STATUS:CONFIRMED
LOCATION:Parksville
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