Bhargav Bhatt: Algebraic Geometry in Mixed Characteristic
International Mathematical Union via YouTube
Overview
Syllabus
Intro
Motivating goal
The geometric backdrop: Hensel's p-adic world (1997)
Progress from the 20th century
A 21st century upgrade: prismatic cohomology
The shape of prismatic cohomology
Semistable reduction
Connections to algebraic K-theory
New calculations in algebraic K-theory
Kodaira vanishing in mixed characteristic
Interlude: Serre's global-to-local dictionary
Kodaira vanishing: variants and applications
Taught by
International Mathematical Union