Please note that the list below only shows forthcoming events, which may not include regular events that have not yet been entered for the forthcoming term. Please see the past events page for a list of all seminar series that the department has on offer.

 

Past events in this series


Tue, 29 Apr 2025
14:00
L6

On the mod-$p$ cohomology of certain $p$-saturable groups.

Konstantin Ardakov
((University of Oxford))
Abstract

The mod-$p$ cohomology of uniform pro-$p$ groups has been calculated by Lazard in the 1960s. Motivated by recent considerations in the mod-$p$ Langlands program, we consider the problem of extending his results to the case of compact $p$-adic Lie groups $G$ that are $p$-saturable but not necessarily uniform pro-$p$: when $F$ is a finite extension of $\mathbb{Q}_p$ and $p$ is sufficiently large, this class of groups includes the so-called pro-$p$ Iwahori subgroups of $SL_n(F)$. In general, there is a spectral sequence due to Serre and Lazard that relates the mod-$p$ cohomology of $G$ to the cohomology of its associated graded mod-$p$ Lie algebra $\mathfrak{g}$. We will discuss certain sufficient conditions on $p$ and $G$ that ensure that this spectral sequence collapses. When these conditions hold, it follows that the mod-$p$ cohomology of $G$ is isomorphic to the cohomology of the Lie algebra $\mathfrak{g}$.

Tue, 13 May 2025
14:00
L6

TBC

Arun Soor
(University of Oxford)
Abstract

to follow

Tue, 20 May 2025
15:00
L6

TBC

Henrique Souza
(Universidad Autonoma de Madrid)
Abstract

to follow

Tue, 27 May 2025
14:00
L6

TBC

Jon Pridham
(Edinburgh University)
Abstract

to follow

Tue, 03 Jun 2025
14:00
L5

tbc

Giovanna Carnoval
(University of Padova)
Abstract

to follow

Tue, 17 Jun 2025
14:00
L6

tbc

Finn Wiersig
(National University of Singapore)
Abstract

to follow