Discrete Subgroups with Finite Bowen-Margulis-Sullivan Measure in Higher Rank - Part 1

Explore a 56-minute lecture by Minju Lee from the University of Chicago, presented at the Institut des Hautes Etudes Scientifiques (IHES). Delve into the classification of discrete subgroups with finite Bowen-Margulis-Sullivan measure in higher rank semisimple Lie groups. Learn about the proof that if a Zariski dense discrete subgroup D of a connected semisimple real algebraic group G admits a finite Bowen-Margulis-Sullivan measure on D\G, then D is virtually a product of higher rank lattices and discrete subgroups of rank one factors of G. Understand how this result relates to the classification of convex cocompact actions by Kleiner-Leeb and Quint, and its connection to Corlette's 1994 conjecture. Discover the applications of this work to the bottom of the L^2 spectrum, based on joint research with Samuel Edwards, Mikolaj Fraczyk, and Hee Oh.