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SUMMARY:Cohomological methods in stability - Andreas Thom (Technische Univ
 ersität Dresden)
DTSTART:20251126T101500Z
DTEND:20251126T111500Z
UID:TALK240427@talks.cam.ac.uk
DESCRIPTION:For d&ge\;4 and p a sufficiently large prime\, we construct a 
 lattice &Gamma\;&le\;PSp2d(ℚp)\, such that its universal central extensi
 on cannot be sofic if &Gamma\; satisfies some weak form of stability in pe
 rmutations. In the proof\, we make use of high-dimensional expansion pheno
 mena. A key ingredient are new cohomological obstructions to weak containm
 ent of actions.
LOCATION:Seminar Room 1\, Newton Institute
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