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SUMMARY:Yunqing Tang (Princeton University)
DTSTART:20220217T223000Z
DTEND:20220217T233000Z
DTSTAMP:20260423T005836Z
UID:JNTS/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JNTS/36/">Ba
 sic reductions of abelian varieties</a>\nby Yunqing Tang (Princeton Univer
 sity) as part of Columbia CUNY NYU number theory seminar\n\n\nAbstract\nEl
 kies proved that an elliptic curve over $\\mathbb Q$ has infinitely many s
 upersingular reductions. The generalization of the 0-dimensional supersing
 ular locus of the modular curve is the so called basic locus of a Shimura 
 curve at a good prime. In this talk\, we generalize Elkies’s theorem to 
 some abelian varieties over totally real fields parametrized by certain un
 itary Shimura curves\; these Shimura curves arise from the moduli spaces o
 f cyclic covers of the projective line ramified at 4 points. This is joint
  work (in progress) with Wanlin Li\, Elena Mantovan\, and Rachel Pries.\n
LOCATION:https://researchseminars.org/talk/JNTS/36/
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