Week 16.05.2022 – 22.05.2022
Tuesday (17 May)
Schedule: Monday 16 May
11:00 Welcome/coffee in the the adjoining Anatomy Museum
11:30 Jessica Fintzen: "Representation of p-adic groups -- with a twist"
12:30 Lunch
14:00 Rob Kurinczuk: "Representations of p-adic groups and moduli of Langlands parameters over \mathbb Z[1/p]"
15:00 Thomas Lanard: "Depth zero representations over \overline{\mathbb Z}[\frac{1}{p}]"
16:00 Coffee
16:30 Arthur-César Le Bras: "A Fourier transform for Banach-Colmez spaces"
Tuesday 17 May
10:00 Simon Riche: "Modular perverse sheaves on affine flag varieties and geometry (and representation theory) of the Langlands dual group"
11:00 Coffee
11:30 Beth Romano: "Fourier transform for unipotent representations of p-adic groups"
Abstracts:
https://www.math.univ-paris13.fr/~morra/ProgramXXXI.pdf
Webpage:
https://www.kcl.ac.uk/events/the-london-paris-number-theory-seminar
Online Stream:
https://teams.microsoft.com/l/meetup-join/19%3ameeting_MGE0YWE0MmQtODFjYy00OGU0LTgzNmEtZDZiODM3MmE4Y2E0%40thread.v2/0?context=%7b%22Tid%22%3a%228370cf14-16f3-4c16-b83c-724071654356%22%2c%22Oid%22%3a%22f5e6659a-9991-4207-82e6-e0a00414c096%22%7d
The seminar on 17 May is cancelled
In this talk we will come at this question from two different angles: first, from the viewpoint of model theory, a subject in which for nearly half a century the notion of stability has played a central role in describing tame behaviour\DSEMIC secondly, from the perspective of combinatorics, where so-called regularity decompositions have enjoyed a similar level of prominence in a range of finitary settings, with remarkable applications including to patterns in the primes.
In recent years, these two fundamental notions have been shown to interact in interesting ways. In particular, it has been shown that mathematical objects that are stable in the model-theoretic sense admit particularly well-behaved regularity decompositions. In this talk we will explore this fruitful interplay in the context of both finite graphs and subsets of abelian groups.
Wednesday (18 May)
After a brief introduction on the random matrix applications to number theory, I will present a collection of moment computations over the unitary, symplectic and special orthogonal random matrix ensembles that I've done throughout my thesis. I will highlight work on the asymptotics of moments of the logarithmic derivative of characteristic polynomials evaluated near the point 1. Throughout, the focus will be on the methods used, the motivation from number theory and directions for future work.
Online stream:
https://teams.microsoft.com/l/meetup-join/19%3ameeting_N2E1YzU4MjYtNjliZS00YWUyLTk1OTItZDQ4NjBmZjNiYzcw%40thread.v2/0?context=%7b%22Tid%22%3a%228370cf14-16f3-4c16-b83c-724071654356%22%2c%22Oid%22%3a%224a0ba08d-9616-4f3a-9e48-b4ecd5cbbf35%22%7d