Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
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By the works of Kleiner-Leeb or Quint, we know that the only convex cocompact Zariski dense subgroups of a simple higher rank Lie group are cocompact lattices. I will talk about a dynamical analogue of this result which states that Zariski dense subgroups with a finite Bowen-Margulis-Sullivan measure are lattices. The argument relies on entropy rigidity techniques developed by Einsiedler-Katok and Lindenstrauss and offers a new strategy of showing that a discrete subgroup of a higher rank group is a lattice. Based on joint work with Minju Lee.
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