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Colloquium of the Steklov Mathematical Institute of Russian Academy of Sciences
November 2, 2017 16:00, Moscow, 8, Gubkina str., room 727
 


Amenability of finitely generated groups

T. V. Nagnibeda

Université de Genève
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T. V. Nagnibeda


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Abstract: The notion of amenability was introduced by John von Neumann in 1929 in his work on the Banach-Tarski paradox. This very interesting property turns out to be related to various areas of mathematics, such as measure theory, representation theory, geometry, probability theory and more – giving way to a number of equivalent reformulations, some of them conjectural. We will discuss amenability in relation to the algebraic structure of a (finitely generated) group, as well as to such geometric and probabilistic properties as growth, random walks and percolation.

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