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Alon Dogon (Weizmann Institute of Science)
Tuesday 25 November 2025, 11:45-12:45
Stability and Approximation for Higher-Rank Lattices
- đ¤ Speaker: Alon Dogon (Weizmann Institute of Science)
- đ Date & Time: Tuesday 25 November 2025, 11:45 - 12:45
- đ Venue: Seminar Room 1, Newton Institute
Abstract
In this talk, I will survey what is known about asymptotic representations of higher-rank lattices (such as SL_2(Z[1/2])). We interpret the term “asymptotic representation” quite boradly and unify several lines of research under the two following key questions: 1) Is every asymptotic representation close to a true representation? (some kind of stability) 2) Does there exist a higher-rank lattice which does not admit an approximation by asymptotic representations? We will present few answers, and many directions for future research. In particular, we argue that the higher-rank setting is the leading candidate for non-sofic, non-hyperlinear and non-MF groups. All terms will be explained in the talk, based on joint work with Benjamin Bachner and Alex Lubotzky and joint work with Itamar Vigdorovich.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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