### The rates of growth in hyperbolic groups

Colloquia Seminar

9th February 2023, 4:00 pm – 5:00 pm

Fry Building, 2.41

The growth rate of a finitely generated group is a fundamental object in the study of groups. It is also very much related to geometry. For example, Milnor proved in the 60s that if a compact manifold has negative sectional curvature, then its fundamental group has exponential growth. I will discuss the structure of the set of growth rates of a hyperbolic group, which is a finitely generated group of "negative curvature".

*Organiser*: Ayalvadi Ganesh

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