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)

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Inrehearsal.com is a dynamic learning and development platform, now available to University staff as part of a one-year pilot by the People and Organisational Development team. 

The platform’s bite-sized videos allow staff to learn and develop their skills and knowledge at their own pace, encouraging continuous professional development. Delivered by expert facilitators and industry leaders, content is designed to increase awareness and understanding on themes including leadership, diversity, wellbeing and personal development.

Cafe mince π news

Mince pies for only 50p in the Café.

Starting Friday, November 1st, enjoy any hot drink and add a mince pie for only 50p after 2 pm in the Café.

Using Teya to pay? If not, now’s the perfect time to start. With our new stamp card promotion, buy 9 hot drinks or hot meals and get the 10th free.

Sport at Oxford

Healthy body, healthy maths as the saying doesn't go.

There are masses of sports in the University that you can join or watch, some of which you may never have heard of,  such as Octopush (pictured). 

Full list

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.

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