Previous Special Year Seminar

Nov
01
2023

Special Year Seminar

On Local Systems of Geometric Origin
2:00pm|Simonyi 101 and Remote Access

I will discuss the following conjecture: an irreducible $\bar{Q}$$_{\ell}$-local system L on a smooth complex algebraic variety S arises in cohomology of a family of varieties over S if and only if L can be extended to an etale local system over...

Oct
25
2023

Special Year Seminar

$p$-adic Hodge Theory and Simpson’s Correspondence
2:00pm|Simonyi 101 and Remote Access

This talk will introduce background, achievements and challenges in the quest to find non-Archimedean versions of the celebrated Corlette-Simpson correspondence, which on Kähler manifolds relates representations of the fundamental group to certain...

Oct
18
2023

Special Year Seminar

Test Ideals in Mixed Characteristic via the $p$-adic Riemann-Hilbert Correspondence
2:00pm|Simonyi 101 and Remote Access

Multiplier ideals in characteristic zero and test ideals in positive characteristic are fundamental objects in the study of commutative algebra and birational geometry in equal characteristic.  We introduced a mixed characteristic version of the...

Oct
11
2023

Special Year Seminar

Prismatic F-gauges and Fontaine-Laffaille Modules
Vadim Vologodsky
2:00pm|Simonyi 101 and Remote Access

With every bounded prism Bhatt and Scholze associated a cohomology theory of formal p-adic schemes. The prismatic cohomology comes equipped with the Nygaard filtration and the Frobenius endomorphism. The Bhatt-Scholze construction has been advanced...

Sep
21
2023

Special Year Seminar

Organizational Meeting
10:00am|Simonyi 101 and Remote Access

This is the organizational meeting for a learning seminar during the fall term on topics related to non-abelian p-adic Hodge theory.