Abelian Varieties Over Finite Fields in the LMFDB
Taylor Dupuy (University of Vermont)
Abstract: I will talk about things around the LMFDB database of isogeny classes of abelian varieties over finite fields (and maybe even about isomorphism classes).
These could include: --"Sato-Ain't" distributions, --weird Tate classes, --Bizzaro Hodge co-levels (and very strange Ax-Katz/Chevalley-Warning type congruences with fractional exponent!), --the counter-example to the conjecture of Ahmadi-Shparlinski, --what we know about angle ranks vs galois groups vs Newton polygons, --new conjectures
The database and "census" is joint work with Kiran Kedlaya, David Roe, and Christelle Vincent (currently available on the arxiv). The work on Tate classes is ongoing with Kiran Kedlaya and David Zureick-Brown.
Audience: researchers in the topic
Stanford algebraic geometry seminar
Series comments: The seminar was online for a significant period of time, but for now is solely in person. More seminar information (including slides and videos, when available): agstanford.com
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