Hyperbolic duality

Jeudi 28 juin 2012 14:00-15:00 - Volodymir Nekrashevych - Texas A&M University

Résumé : I will define hyperbolic groupoids, which are generalizations both of the action of a Gromov hyperbolic group on its boundary, and groupoids naturally appearing in hyperbolic dynamics. An interesting aspect of the theory of hyperbolic groupoids is a duality theory : for every hyperbolic groupoid G there is a natural groupoid G’ acting on the boundary of the Cayley graph of G. The groupoid G’ is also hyperbolic and G’’ is equivalent to G. Examples and some applications (e.g. Patterson-Sullivan measures) will be discussed.

Lieu : bât. 425 - 121-123

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