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Hello from your weekly Student Bulletin.

It's Week 1 of Trinity Term and we're fully back into the swing of it, with revision classes, presentations and exam prep already ongoing.

Unfortunately the weather is still pretty baltic, but the sun has finally appeared for the first time this week.

In this Bulletin we have opportunities to share your thoughts on REF 2029's Open Access Policy, and to improve diversity in the Maths curriculum. 

Okay, don't worry, it won't be a regular feature, but in an otherwise somewhat dull Bulletin here is one of the 'Shorts' on our YouTube Channel from our Nobel Prize winner. Shorts are going rather well. 'Longs' are also okay though. 

Wed, 15 May 2024

16:00 - 17:00
L6

Out(Fₙ) and friends

Naomi Andrew
(University of Oxford)
Abstract

This talk will serve as an introduction to the outer automorphism group of a free group, its properties and the objects used to study it: especially train track maps (with various adjectives) and Culler--Vogtmann outer space. If time allows I will discuss recent work joint with Hillen, Lyman and Pfaff on stretch factors in rank 3, but the goal of the talk will be to introduce the topic well rather than to speedrun towards the theorem.

Wed, 01 May 2024

16:00 - 17:00
L6

ℓ²-Betti numbers of RFRS groups

Sam Fisher
(University of Oxford)
Abstract

RFRS groups were introduced by Ian Agol in connection with virtual fibering of 3-manifolds. Notably, the class of RFRS groups contains all compact special groups, which are groups with particularly nice cocompact actions on cube complexes. In this talk, I will give an introduction to ℓ²-Betti numbers from an algebraic perspective and discuss what group theoretic properties we can conclude from the (non)vanishing of the ℓ²-Betti numbers of a RFRS group.

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