Yuri Santos Rego spoke at an international algebra conference in Brazil

Lincoln Algebraist Dr Yuri Santos Rego was one of the invited speakers in the Group Theory Session of the latest Brazilian Algebra Meeting (27ª Escola de Álgebra), one of the largest and most traditional maths conferences in Latin America.

The event was held from 15 to 19 July in the prestigious University of São Paulo, and had over 500 participants.
Yuri’s talk was about Coxeter groups and profinite rigidity, reporting on recent joint work of his with Prof. Petra Schwer (Heidelberg, Germany).


Title of the talk: Finite quotients of reflection groups

Abstract:
Combinatorial, asymptotic, and geometric group theory have shown us over the past century that distinguishing infinite groups is a delicate issue. In recent decades, there has been particular interest in distinguishing groups with interesting geometric features by means of their finite quotients. In this talk we shall focus on the case of Coxeter groups, which are abstract counterparts – or rather generalizations – of classical (spherical, Euclidean, or hyperbolic) reflection groups. We will discuss recent results and open problems around profinite rigidity of such groups. Based on joint work with Petra Schwer.

About Yuri Santos

Mathematician at the University of Lincoln, UK.

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