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SUMMARY:Stability in bounded cohomology for classical groups
DTSTART:20181024T150000
DTEND:20181024T160000
DTSTAMP:20260609T210822Z
UID:fb7a54f6a6fa3d1d0e6a189bd0f8ac1c8003c1ed13a640b51bb1eed0
CATEGORIES:Conferences - Seminars
DESCRIPTION:Carlos De la Cruz Mengual (ETHZ)\nHomological stability is a p
 henomenon that has been studied and established in the context of ordinary
  group homology for several infinite ascending series of groups. So far th
 e only existing stability result known for bounded cohomology\, by Monod\,
  concerned the families of the general and special linear groups over any 
 local field. In this talk we present an argument that proves stability for
  the symplectic families over the fields of real and of complex numbers. W
 e first describe a general method that guarantees bounded-cohomological st
 ability along a series of locally compact second-countable groups\, provid
 ed that there exists a family of highly connected complexes on which the g
 roups have a highly transitive action. Then\, we introduce a new family of
  complexes associated to the symplectic groups\, which we call symplectic 
 Stiefel complexes. Similar kinds of objects can be defined for other famil
 ies of classical groups.\nThis is joint work with Tobias Hartnick.
LOCATION:MA A3 30 https://plan.epfl.ch/?room=MAA330
STATUS:CONFIRMED
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