Abelian Varieties Over Finite Fields in the LMFDB

Taylor Dupuy (University of Vermont)

13-Nov-2020, 20:00-21:00 (4 years ago)

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.

algebraic geometry

Audience: researchers in the topic

( paper | slides | video )

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

Organizer: Ravi Vakil*
*contact for this listing

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