Previous Special Year Seminar

Apr
10
2024

Special Year Seminar

Rationalized Syntomic Cohomology
2:00pm|Simonyi 101 and Remote Access

A few years ago, Bhatt-Morrow-Scholze introduced an invariant of $p$-adic formal schemes called syntomic cohomology, which has a close relationship to (étale-localized) algebraic $K$-theory. In a recent paper, Antieau-Mathew-Morrow-Nikolaus showed...

Apr
03
2024

Special Year Seminar

The $v$-Picard Group of Stein Spaces
2:00pm|Simonyi 101 and Remote Access

In this talk, I will present a computation of the image of the Hodge-Tate logarithm map (defined by Heuer) in the case of smooth Stein varieties. When the variety is the affine space, Heuer has proved that this image is equal to the group of closed...

Mar
27
2024

Special Year Seminar

On Endomorphisms of THH
Maxime Ramzi
2:00pm|Simonyi 101 and Remote Access

Topological Hochschild homology is an important invariant, closely related to algebraic K-theory, and can be seen as a noncommutative analogue of de Rham chains.

In this talk, I will describe various computations of the ring/monoid of endomorphisms...

Feb
28
2024

Special Year Seminar

D-modules on the Fargues-Fontaine Curve
3:30pm|Simonyi 101 and Remote Access

Motivated by the desire to express in terms of de Rham data the pro-étale cohomology with non-trivial $\mathbb{Q}_p$-coefficients of rigid spaces $X$, defined over $\mathbb{Q}_p$ or $\mathbb{C}_p$, I will explain how to define D-modules on the...