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SUMMARY:Profiniteness of higher rank volume - Holger Kammeyer (Heinrich-He
 ine-Universität Düsseldorf)
DTSTART:20250728T091500Z
DTEND:20250728T101500Z
UID:TALK234250@talks.cam.ac.uk
DESCRIPTION:While many properties such as amenability\, property (T) and F
 A\, finiteness properties\, Euler characteristic\, ... can differ for prof
 initely isomorphic groups\, we present a result in the positive direction:
  The covolume of lattices in higher rank Lie groups with the congruence su
 bgroup property is determined by the profinite completion. Without relying
  on CSP\, we additionally show that volume is a profinite invariant of oct
 onionic hyperbolic congruence manifolds. Joint work with Steffen Kionke an
 d Ralf K&ouml\;hl.
LOCATION:Seminar Room 1\, Newton Institute
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