Group Theory Seminar

Finite shadows of infinite groups: What do they hide?

Speaker:  Alan Reid (Rice University)
Date:  Wednesday, 07 June 2023 - 12:00
Place:  Aula 115, Facultad de Matemáticas, Universidad Complutense de Madrid


There are many situations in geometry and group theory where it is natural, convenient or necessary to explore infinite groups via their actions on finite objects — ie via their finite quotients. A natural question is therefore: to what extent do they determine the infinite group?
In this colloquium style talk I will discuss the rich history of this problem and describe some of the major progress of recent years. In particular I will discuss results connected to the study of 3-manifold groups. 

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