Non-invertible higher-categorical symmetries
Bhardwaj, L Bottini, L Schafer-Nameki, S Tiwari, A SciPost Physics volume 14 issue 1 (26 Jan 2023)

We want to make sure that it's easy for our students to get in touch with the department, and (especially importantly) that everyone knows how to get in touch with us. If you ever have a query or concern you'd like to raise with the department, the Student Hotline is always available. 

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We're really sorry to inform you all that due to unforeseen circumstances, Week 3's Fridays@2 has had to be postponed. We're especially sorry to those of you who had already signed up for pizza. 

Induction equivalence for equivariant D-modules on rigid analytic spaces
Ardakov, K Representation Theory volume 27 issue 2023 177-247 (17 May 2023)

Duygu Sap joined this week from Engineering as Postdoctoral Research Associate in Multicomponent Flow Modelling working with Patrick Farrell in Numerical Analysis.

Tue, 07 Mar 2023
16:00
C3

Cotlar identities for groups acting on tree like structures

Runlian Xia
(University of Glasgow)
Abstract

The Hilbert transform H is a basic example of a Fourier multiplier, and Riesz proved that H is a bounded operator on Lp(T) for all p between 1 and infinity.  We study Hilbert transform type Fourier multipliers on group algebras and their boundedness on corresponding non-commutative Lp spaces. The pioneering work in this direction is due to Mei and Ricard who proved Lp-boundedness of Hilbert transforms on free group von Neumann algebras using a Cotlar identity. In this talk, we introduce a generalised Cotlar identity and a new geometric form of Hilbert transform for groups acting on tree-like structures. This class of groups includes amalgamated free products, HNN extensions, left orderable groups and many others.  This is joint work with Adrián González and Javier Parcet.

Tue, 28 Feb 2023
16:00
C3

Some algebraic aspects of minimal dynamics on the Cantor set

Maryram Hosseini
(Queen Mary, University of London)
Abstract

By Jewett-Krieger theorems minimal dynamical systems on the Cantor set are topological analogous of ergodic systems on probability Lebesgue spaces. In this analogy and to study a Cantor minimal system, indicator functions of clopen sets (as continuous integer or real valued functions) are considered while they are mod out by the subgroup of all co-boundary functions. That is how dimension group which is an operator algebraic object appears in dynamical systems. In this talk, I try to explain a bit more about dimension groups from dynamical point of view and how it relates to topological factoring and spectrum of Cantor minimal systems.

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