Joint IAS/PU Arithmetic Geometry

Compatibility of Canonical Local Systems and $F$-isocrystals on Shimura Varieties

I will discuss compatibility of the canonical $G$-valued $l$-adic local systems on Shimura varieties of non-abelian type $G$. In previous work with Klevdal, we settled this for the projections of the local systems to the adjoint group of $G$, and this talk will focus on lifting the compatibility to $G$ using work of Bakker-Shankar-Tsimerman. I will also discuss the corresponding $F$-isocrystal compatibility statements, resulting from joint work with Huryn, Kedlaya, and Klevdal.

Date & Time

April 06, 2026 | 3:30pm – 4:30pm

Add to calendar 04/06/2026 15:30 04/06/2026 16:30 Joint IAS/PU Arithmetic Geometry use-title Topic: Compatibility of Canonical Local Systems and $F$-isocrystals on Shimura Varieties Speakers: Stefan Patrikis, Ohio State University More: https://www.ias.edu/math/events/joint-iaspu-arithmetic-geometry-47 I will discuss compatibility of the canonical $G$-valued $l$-adic local systems on Shimura varieties of non-abelian type $G$. In previous work with Klevdal, we settled this for the projections of the local systems to the adjoint group of $G$, and this talk will focus on lifting the compatibility to $G$ using work of Bakker-Shankar-Tsimerman. I will also discuss the corresponding $F$-isocrystal compatibility statements, resulting from joint work with Huryn, Kedlaya, and Klevdal. Simonyi 101 and Remote Access a7a99c3d46944b65a08073518d638c23

Location

Simonyi 101 and Remote Access

Speakers

Stefan Patrikis, Ohio State University

Event Series

Arithmetic Geometry

Notes

Zoom Meeting ID: 842 7792 2534
Password hint: The Grothendieck prime in binary