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Forrest Glebe (University of Hawaii)
Thursday 27 November 2025, 10:15-11:15
Frobenius Non-Stability of Nilpotent Groups
â ī¸ Important: OGGW04 - Stability and probabilistic methods
- đ¤ Speaker: Forrest Glebe (University of Hawaii)
- đ Date & Time: Thursday 27 November 2025, 10:15 - 11:15
- đ Venue: Seminar Room 1, Newton Institute
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Abstract
I will talk about my result that a finitely generated nilpotent group is Frobenius stable if and only if it is virtually cyclic. I will explain how the non-stability comes from a 2-cohomology class of a particular form that allows one to build an “efficient” sequence of projective representations. From there the “winding number argument” due to Kazhdan, Exel, and Loring is used to show that these projective representations are far from genuine representations.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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