2025-26

Seminars are held on Thursdays at 12:00 in B3.02

Organisers: Sean Eberhard and Gareth Tracey

Term 1:

9th October: Nikolay Nikolov

Title: Deficiency, relation gap and 2-dimensional groups.

Abstract: We conjecture a characterisation of the finitely presented residually finite groups with 2-dimensional classifying space in terms of the growth of the deficiency of their finite index subgroups. This conjecture is motivated by an open question about the deficiency gradient of groups and their L2-Betti numbers. In this talk I will relate this conjecture to the relation gap problem for group presentations and establish its higher dimensional analogs.

Joint work with Aditi Kar.

16th October: Rachel Camina

23rd October: Henry Bradford

30th October:

6th November: Gemma Crowe

13th November:

20th November: Tianyi Zheng (TBC)

27th November: Scott Harper

4th December:

11th December: Rowena Paget (TBC)

We welcome suggestions for speakers. Please email the organizers.