Prismatic F-gauges (final RAMpAGe talk!)

Abstract: Recording: bostonu.zoom.us/rec/share/DzQW6dw2X-T8RhqlthoGxAO0kD4hYmOKebIh8nFxnRh9U-rz15TrtPG2KgSuz3zZ.YaFrVJvWNFbn6xLV

Notes: drive.google.com/file/d/1PWW_guqKGBvWsrnddjX18XdTKX2KbeLG/view?usp=sharing

Prismatic F-gauges are the natural coefficient systems for prismatic cohomology, analogous to variations of Hodge structures in classical Hodge theory. This talk will describe a couple of equivalent perspectives on this notion, and then present evidence suggesting that prismatic F-gauges over Spf(Z_p) might provide a meaningful notion of crystallinity for representations of the absolute Galois group of Q_p with torsion coefficients. This is joint work in progress with Jacob Lurie, building on work of Drinfeld.

commutative algebraalgebraic geometrynumber theory

Audience: researchers in the topic

Recent Advances in Modern p-Adic Geometry (RAMpAGe)

Series comments: The Zoom Meeting ID is: 995 3670 1681. The password for the series is: *The first three-digit prime*. Please visit the external homepage for notes and videos from past talks.