2016
Nov
03

# Groups and dynamics - Misha Belolipetsky

10:30am to 11:30am

## Location:

Ross 70

Speaker: Misha Belolipetsky

Title: Arithmetic Kleinian groups generated by elements of finite order

Abstract:

We show that up to commensurability there are only finitely many

cocompact arithmetic Kleinian groups generated by rotations. The proof

is based on a generalised Gromov-Guth inequality and bounds for the

hyperbolic and tube volumes of the quotient orbifolds. To estimate the

hyperbolic volume we take advantage of known results towards Lehmer's

problem. The tube volume estimate requires study of triangulations of

Title: Arithmetic Kleinian groups generated by elements of finite order

Abstract:

We show that up to commensurability there are only finitely many

cocompact arithmetic Kleinian groups generated by rotations. The proof

is based on a generalised Gromov-Guth inequality and bounds for the

hyperbolic and tube volumes of the quotient orbifolds. To estimate the

hyperbolic volume we take advantage of known results towards Lehmer's

problem. The tube volume estimate requires study of triangulations of