{"date":"2025-11-20","starts":{"hour":11,"minute":10,"second":0,"second_of_day":40200},"ends":{"hour":12,"minute":0,"second":0,"second_of_day":43200},"room":"-101","speaker":"Michael Glasner","from":"Weizmann Institute","title":"Character Rigidity and the Stuck-Zimmer Conjecture for Nonuniform Lattices","abstract":"The theory of characters of infinite groups, initiated by Thoma, is a generalization of the representation theory of finite groups.\r\nMore explicitly, a character of a group is an (extremal) conjugation invariant positive definite function. A group said to be character rigid if every character of the group\r\nis either supported on the center or comes from a finite dimensional representation. Connes conjecture that any irreducible lattice in a higher rank Lie group\r\nis character rigid. Surprisingly, this conjecture is a generalization of the celebrated Margulis normal subgroup theorem and of the Stuck-Zimmer conjecture on IRS rigidity. I will discuss a recent joint work with Alon Dogon, Yuval Gorfine, Liam Hanany, and Arie Levit showing that any nonuniform higher rank lattice is character rigid, proving the Stuck-Zimmer conjecture for such lattices.\r\n","speaker_web":null,"announcement":null,"descfiles_signed_ids":"[]","online":false,"slug":"2025-11-20","shift":{"beginning":{"hour":11,"minute":10,"second":0,"second_of_day":40200},"ending":{"hour":12,"minute":0,"second":0,"second_of_day":43200},"exclude_end":false,"range":"[40200,43200]"},"announcement_i18n":{"en":"","he":""},"duration":"[2025-11-20 09:10:00 UTC,2025-11-20 10:00:00 UTC]","id":1177,"created_at":"2025-10-16T13:24:11.806+03:00","updated_at":"2025-11-18T08:30:54.721+02:00","admin_users":[],"summary":"Michael Glasner: Character Rigidity and the Stuck-Zimmer Conjecture for Nonuniform Lattices","full_speaker_text":"Michael Glasner (*Weizmann Institute*)","unusual":null,"unusual_place":false,"unusual_time":false,"unusual_day":false}