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Graphical random groups

Markus Steenbock

Abstract: Graphical random groups have been recently intro- duced by Gromov to construct a counterexample to Baumes-Connes conjecture with coefficients. In this talk we will consider a simpli- fication and explain Ollivier and Wise’s proof that the graphical metric small cancellation condition holds for almost all finitley pre- sented graphical random groups (in a certain statistical sense). The first part will be a introductory talk explaining ideas used in the second part.

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