The affine cone of a Fargues-Fontaine curve
Kiran Kedlaya (UC San Diego)
Abstract: The Fargues-Fontaine curve associated to an algebraically closed nonarchimedean field of characteristic $p$ is a fundamental geometric object in $p$-adic Hodge theory. Via the tilting equivalence it is related to the Galois theory of finite extensions of Q_p; it also occurs in Fargues's program to geometrize the local Langlands correspondence for such fields.
Recently, Peter Dillery and Alex Youcis have proposed using a related object, the "affine cone" over the aforementioned curve, to incorporate some recent insights of Kaletha into Fargues's program. I will summarize what we do and do not yet know, particularly about vector bundles on this and some related spaces (all joint work in progress with Dillery and Youcis).
number theory
Audience: researchers in the topic
Series comments: Most talks are preceded by a pre-talk for graduate students and postdocs. The pre-talks start 40 minutes prior to the posted time (usually at 1:20pm Pacific) and last about 30 minutes.
| Organizers: | Kiran Kedlaya*, Alina Bucur, Aaron Pollack, Cristian Popescu, Claus Sorensen |
| *contact for this listing |