Supersingular loci in moduli spaces of abelian varieties

Abstract: Given a moduli space of abelian varieties in characteristic $p$, for example the reduction modulo $p$ of a modular curve, it is natural to ask: what points in this moduli space parametrize supersingular abelian varieties? These points define the supersingular locus of the moduli space. In this talk, we'll see several examples of moduli spaces of abelian varieties, and we'll discuss the geometry of their supersingular loci.

number theory

Audience: researchers in the discipline

POINT: New Developments in Number Theory

Series comments: There will be two 20-minute contributed talks during each meeting aimed at a general number theory audience, including graduate students.

Participants are welcome to stay following the talks to have further discussions with the speakers or meet other audience members.

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