RTG Graduate Student Workshop 2026

May 4 - May 8, Evans Hall

Schedule

Activities take place in the indicated rooms.
Monday Tuesday Wednesday Thursday Friday
9:00 - 9:30 Breakfast (coffee and pastries, 1015) Breakfast (coffee and pastries, 1015) Breakfast (coffee and pastries, 1015) Breakfast (coffee and pastries, 1015) Breakfast (coffee and pastries, 1015)
9:30 - 10:30 Morrow I (1015) Morrow II (1015) Morrow III (1015) Petrov II (1015) Petrov III (1015)
10:30 - 11:00 Break Break Break Break Break
11:00 - 12:00 Zeyu Liu, Petrov preparatory lecture (1015) Break Petrov I (1015) Break Student presentations (1015, until 12:30)
12:00 - 13:00 Lunch break Lunch break Lunch break Lunch break
13:00 - 17:00 Working sessions (959, 961)** Working sessions (959, 961)** Working sessions (959, 961)** Working sessions (959, 961)**

*Start times are as indicated, not "Berkeley time".

**The working group for Morrow's lectures will take room 959, and the working group for Petrov's lectures will take room 961.

Titles and Abstracts

Matthew Morrow

p-adic motivic cohomology
Abstract: I will give an overview of the construction of non-A^1-invariant motivic cohomology of arbitrary schemes, focussing on the case of p-adic coefficients and the relations to syntomic cohomology. The new results are joint with Elmanto for schemes of equal characteristic, and due to Bouis for schemes of mixed characteristic.

Sasha Petrov

Differential geometry in mixed characteristic via stacks
Abstract: This minicourse will discuss de Rham cohomology and D-modules on schemes in positive and mixed characteristic, from the point of view of prismatization, introduced by Bhatt-Lurie and Drinfeld. While the cohomology theories we will discuss are much more classical than prismatic cohomology, this perspective leads to new additional structures on them, and simplifies some previously known constructions. In particular, we will discuss the Sen operator on de Rham cohomology and the relation between D-modules and p-D-modules on schemes over Z_p, generalizing the positive characteristic non-abelian Hodge correspondence of Ogus-Vologodsky.

Exercises