Seminar series
Date
Thu, 01 Dec 2016
Time
16:00 -
17:00
Location
C2
Speaker
Nicolaus Heuer
Organisation
University of Oxford
I will compare features of (classical) cohomology theory of groups to the rather exotic features of bounded (or continuous bounded) cohomology of groups.
Besides giving concrete examples I will state classical cohomological tools/features and see how (if) they survive in the case of bounded cohomology. Such will include the Mayer-Vietoris sequence, the transfer map, resolutions, classifying spaces, the universal coefficient theorem, the cup product, vanishing results, cohomological dimension and relation to extensions.
Finally I will discuss their connection to each other via the comparison map.