BEGIN:VCALENDAR
PRODID:-//Columba Systems Ltd//NONSGML CPNG/SpringViewer/ICal Output/3.3-
 M3//EN
VERSION:2.0
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20261001T093027Z
DTSTART:20261006T130000Z
SUMMARY:Heilbronn Algebra Seminar - Henrique Mendes da Silva e Souza
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}t93-mupc2xs
 n-cyjan1
DESCRIPTION:Title: Cohomological asymptotics for linear groups\nAbstract:
   For a finitely generated subgroup H of a complex semisimple Lie group 
 G\, we investigate how the cohomology groups H^i(H\,V) grow as V ranges 
 over thefinite-dimensional complex representations of G. Assuming a mild
  finiteness condition on H\, we formulate a conjecture relating the dime
 nsions of H^i(H\,V) to the L²-Betti numbers of H. We then explain how th
 is conjecture is connected to the p-adic representation theory of G?\, t
 he principal congruence subgroup of the simply connected p-adic split se
 misimple algebraic group having the same root system as G. We'll finish 
 with a discussion of known cases (joint with L. Guerrero) as well as rec
 ent developments.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
END:VEVENT
END:VCALENDAR