University of Birmingham > Talks@bham > Algebra seminar  > Growth of lattices in semisimple Lie groups

Growth of lattices in semisimple Lie groups

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If you have a question about this talk, please contact Lewis Topley.

A discrete subgroup G of a Lie group H is called a lattice if the quotient space H/G has finite volume. By a classical theorem of Bieberbach we know that the group of isometries of an n-dimensional Euclidean space has only finitely many different types of lattices. The situation is different for the semisimple Lie groups H. Here the total number of lattices is infinite and we can study its growth rate with respect to the covolume. This topic has been a subject of our joint work with A. Lubotzky for a number of years. In the talk I will discuss our work and some other more recent related results.

This talk is part of the Algebra seminar series.

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