Angle ranks of abelian varieties
Kiran Kedlaya (UC San Diego)
Abstract: The angle rank of an abelian variety over a finite field (or a CM abelian variety over C) quantifies the extent to which the Tate conjecture (or the Hodge conjecture) holds "for trivial reasons"; cases where this does not happen tend to be rare in practice. Picking up a thread from some old (1980s and 1990s) results of Tankeev and Lenstra-Zarhin, we show that in many cases, the Tate conjecture is forced to hold by the Newton polygon of the abelian variety or the Galois group of the Frobenius eigenvalues. Joint work with Taylor Dupuy and David Zureick-Brown.
algebraic geometry
Audience: researchers in the topic
Comments: The synchronous discussion for Kiran Kedlaya’s talk is taking place not in zoom-chat, but at tinyurl.com/2022-04-15-kk (and will be deleted after ~3-7 days).
Stanford algebraic geometry seminar
Series comments: This seminar requires both advance registration, and a password. Register at stanford.zoom.us/meeting/register/tJEvcOuprz8vHtbL2_TTgZzr-_UhGvnr1EGv Password: 362880
If you have registered once, you are always registered for the seminar, and can join any future talk using the link you receive by email. If you lose the link, feel free to reregister. This might work too: stanford.zoom.us/j/95272114542
More seminar information (including slides and videos, when available): agstanford.com
Organizer: | Ravi Vakil* |
*contact for this listing |