Minju Lee - 1/2 Discrete Subgroups with Finite Bowen-Margulis-Sullivan Measure in Higher Rank 🔎🔍
🎞️ · 22.06.2023 · 11:18:15 ··· Donnerstag ⭐ 0 🎬 0
📺Institut des Hautes Etudes Scientifiques (IHES)
🎬 · 22.06.2023 · 11:18:15 ··· Donnerstag
😎 · 03.07.2024 · 15:40:29 ··· MiTTwoch
Let G be a connected semisimple real algebraic group and D be its Zariski dense discrete subgroup. We prove that if D\G admits any finite Bowen-Margulis-Sullivan measure, then D is virtually a product of higher rank lattices and discrete subgroups of rank one factors of G. This may be viewed as a measure-theoretic analogue of classification of convex cocompact actions by Kleiner-Leeb and Quint, which was conjectured by Corlette in 1994. This is joint work with Mikolaj Fraczyk. We will then discuss its application on the bottom of the L^2 spectrum, in joint work with Samuel Edwards, Mikolaj Fraczyk and Hee Oh.
Minju Lee (University of CHICAGO)
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· 22.06.2023 · 11:18:15 ··· Donnerstag
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