Yuri Santos Rego spoke at traditional group theory meeting in Barcelona, Spain

In May 2024, Lincoln algebraist Dr Yuri Santos Rego was one of the invited speakers of the seventeenth edition of the “Barcelona Weekend in Group Theory“, hosted by the grupsBCN research group of the Universitat Polytècnica de Catalunya.

Yuri’s talk was about BNSR Sigma-invariants for Thompson groups and related questions, reporting on recent works with multiple collaborators.

Title: Thompson groups of irrational slope and their Sigma invariants

Abstract:
The groups of Richard Thompson – and their relatives or generalisations – became famous by serving as (counter)examples to many interesting questions. Particularly, they tend to have nice cohomological features. In this talk we shall focus on an irrational-slope version of Thompson’s group F, introduced by Cleary in the mid 1990s, and some of its cohomological properties. We then discuss the Sigma invariants of Bieri, Neumann, Strebel, and Renz and how to compute them in the case at hand, and potentially state some structural consequences of these computations. 
Based on joint works with Lewis Molyneux and Brita Nucinkis, and with Paula Macedo Lins de Araujo and Altair Santos de Oliveira-Tosti.

About Yuri Santos

Mathematician at the University of Lincoln, UK.

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