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SUMMARY:Bounded cohomology of transformation groups of R^n - Francesco Fou
 rnier-Facio (Cambridge)
DTSTART:20240515T150000Z
DTEND:20240515T160000Z
UID:TALK215398@talks.cam.ac.uk
CONTACT:Oscar Randal-Williams
DESCRIPTION:Bounded cohomology is a functional analytic analogue of group 
 cohomology\, with many applications in rigidity theory\, geometric group t
 heory\, and geometric topology. A major drawback is the lack of excision\,
  and because of this some basic computations are currently out of reach\; 
 in particular the bounded cohomology of some “small” groups\, such as 
 the free group\, is still mysterious. On the other hand\, in the past few 
 years full computations have been carried out for some “big” groups\, 
 most notably transformation groups of R^n\, where the ordinary cohomology 
 is not yet completely understood. I will report on this recent progress\, 
 which will include joint work with Caterina Campagnolo\, Yash Lodha and Ma
 rco Moraschini\, and joint work with Nicolas Monod\, Sam Nariman and Sande
 r Kupers.
LOCATION:MR13
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