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Speaker:

Doug Ulmer
Affiliation:

The University of Arizona/MPIM
Date:

Wed, 30/10/2024 - 14:30 - 15:30
Location:

MPIM Lecture Hall
Parent event:

Number theory lunch seminar The Torelli locus---the image of the moduli space of curves (Mg) in

the moduli space of abelian varieties (Ag)---is much-studied but still

mysterious. In characteristic p, Ag has a beautiful stratification by

the isomorphism type of A[p], and examples show that Mg is far from

transverse to this stratification. In an ongoing project, we develop

tools to understand (and perhaps make principled conjectures about)

which strata of Ag meet Mg. In this talk, we explain some of the

structures involved (including a crash course on finite group schemes)

and then give some new results about them. Parts of this are joint

work with Bryden Cais and Rachel Pries.

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