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The geometry of the Word Problem – Jeronimo Garcia Mejia (KIT Karlsruher Institut für Technologie)

Venue

Department of Mathematics, Aula Riunioni

Abstract

We will review a classical problem in group theory, the so-called Word Problem, from a geometric perspective by relating it to an even older geometric problem, the Isoperimetric Problem. The main actor being Dehn functions. We will talk about an interesting class of groups and review what is known about their Dehn functions and present some recent progress. If time allows it we will discuss the ideas behind it which will serve as an excuse to talk about an interesting open problem.

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