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University of Cambridge > Talks.cam > Category Theory Seminar > A non-abelian Verdier's hypercovering theorem

## A non-abelian Verdier's hypercovering theoremAdd to your list(s) Download to your calendar using vCal - Zhen Lin Low (University of Cambridge)
- Tuesday 02 December 2014, 14:15-15:30
- MR5, Centre for Mathematical Sciences.
If you have a question about this talk, please contact Dr Ignacio Lopez Franco. One of the central problems in classical sheaf theory is to compute the sheaf cohomology groups of a given sheaf or presheaf of abelian groups. Under favourable conditions, this can be done using Čech cohomology, and the original version of Verdier’s hypercovering theorem can be seen as a vast generalisation of this. In the first half of this talk, I will recall the notion of a category of fibrant objects in the sense of Brown and give a homotopy colimit formula for computing the derived hom-spaces in the simplicially enriched case. Then, in the second half, I will apply this to the case of simplicial presheaves on a site to obtain a non-abelian version of Verdier’s hypercovering theorem. This talk is part of the Category Theory Seminar series. ## This talk is included in these lists:- All CMS events
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