UNAM

Critical exponents for groups of isometries, amenability, and property (T)

Ponente: Rhiannon Dougall
Institución: University of Warwick
Tipo de Evento: Investigación

Cuándo 24/02/2017
de 12:00 a 13:30
Dónde Salon de Seminarios Graciela Salicrup
Agregar evento al calendario vCal
iCal

The aim of this talk is to relate dynamics (critical exponents) to group properties (amenability and property (T)). Our setting is for groups of isometries of a (complete, simply connected) negatively curved manifold X. When the group G is non-elementary, the G-orbit of a point inside a ball of radius R grows exponentially in R -- we call this growth rate the critical exponent of G. We are interested in how the critical exponent varies over subgroups H of G. In the case that G is cocompact (or convex cocompact) we can give some answers in terms of amenability and property (T).