Cohomological methods in stability

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• Andreas Thom (Technische Universität Dresden)
• Wednesday 26 November 2025, 10:15-11:15
• Seminar Room 1, Newton Institute.

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OGGW04 - Stability and probabilistic methods

For d≥4 and p a sufficiently large prime, we construct a lattice Γ≤PSp2d(ℚp), such that its universal central extension cannot be sofic if Γ satisfies some weak form of stability in permutations. In the proof, we make use of high-dimensional expansion phenomena. A key ingredient are new cohomological obstructions to weak containment of actions.

This talk is part of the Isaac Newton Institute Seminar Series series.

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