Mechanics of elliptical JKR-type adhesive contact
Giudici, A Vella, D Griffiths, I Journal of Physics D: Applied Physics volume 58 issue 8 085301 (17 Dec 2024)
HYPERBOLIC MANIFOLDS THAT FIBRE ALGEBRAICALLY UP TO DIMENSION 8
Italiano, G Martelli, B Migliorini, M Journal of the Institute of Mathematics of Jussieu volume 23 issue 2 609-646 (10 Mar 2024)
A homogenised model for dispersive transport and sorption in a heterogeneous porous medium
Auton, L Dalwadi, M Griffiths, I (15 Oct 2024)
Human brain changes after first psilocybin use
Lyons, T Spriggs, M Kerkelä, L Rosas, F Roseman, L Mediano, P Timmermann, C Oestreich, L Pagni, B Zeifman, R Hampshire, A Trender, W Douglass, H Girn, M Godfrey, K Kettner, H Sharif, F Espasiano, L Gazzaley, A Wall, M Erritzoe, D Nutt, D Carhart-Harris, R
Tue, 11 Feb 2025
16:00
C3

Homology and K-theory for self-similar group actions

Alistair Miller
(University of Southern Denmark)
Abstract

Self-similar groups are groups of automorphisms of infinite rooted trees obeying a simple but powerful rule. Under this rule, groups with exotic properties can be generated from very basic starting data, most famously the Grigorchuk group which was the first example of a group with intermediate growth.

Nekrashevych introduced a groupoid and a C*-algebra for a self-similar group action on a tree as models for some underlying noncommutative space for the system. Our goal is to compute the K-theory of the C*-algebra and the homology of the groupoid. Our main theorem provides long exact sequences which reduce the problems to group theory. I will demonstrate how to apply this theorem to fully compute homology and K-theory through the example of the Grigorchuk group.

This is joint work with Benjamin Steinberg.

Mon, 11 Nov 2024
17:00
L1

The Brooke Benjamin Lecture in Fluid Dynamics: The Elusive Singularity

Professor Peter Constantin
(Princeton University)
Abstract

The Seventeenth Brooke Benjamin Lecture 2024

The Elusive Singularity

I will describe the open problems of singularity formation in incompressible fluids. I will discuss a list of related models, some results, and some more open problems.

Date: Monday, 11 November 2024 

Time: 5pm GMT

Location: Lecture Theatre 1, Mathematical Institute 

Speaker: Professor Peter Constantin        

More information about The Brooke Benjamin Lecture.

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