Finiteness theorems for arithmetic reflection groups - Commonweb

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8 Οκτ 2013 (πριν από 3 χρόνια και 6 μήνες)

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Département de Mathématiques, Université de Fribourg
Geometrie und Topologie
Thursday, March 13, 2008
Seminarraum, Departement für Mathematik II
(Dépendence Lonza), Université de Fribourg
Mikhail Belolipetsky
Durham University
Finiteness theorems for
arithmetic reflection groups
The talk is based in part on a joint work with

Ian Agol, Peter Storm and Kevin Whyte in

which we show that there are only finitely

many conjugacy classes of maximal arithmetic

hyperbolic reflection groups.
Our proof combines an extension of a classical

geometric inequality due to Li and Yau with

some recent results on growth of lattices in

semisimple Lie groups. I will discuss the

method and some of its further applications.