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SUMMARY:A non-abelian Verdier's hypercovering theorem - Zhen Lin Low (Univ
 ersity of Cambridge)
DTSTART:20141202T141500Z
DTEND:20141202T153000Z
UID:TALK56538@talks.cam.ac.uk
CONTACT:Dr Ignacio Lopez Franco
DESCRIPTION:One of the central problems in classical sheaf theory is to co
 mpute the\nsheaf cohomology groups of a given sheaf or presheaf of abelian
  groups.\nUnder favourable conditions\, this can be done using Čech cohom
 ology\, and\nthe original version of Verdier's hypercovering theorem can b
 e seen as a\nvast generalisation of this.\n\nIn the first half of this tal
 k\, I will recall the notion of a category of\nfibrant objects in the sens
 e of Brown and give a homotopy colimit formula\nfor computing the derived 
 hom-spaces in the simplicially enriched case.\nThen\, in the second half\,
  I will apply this to the case of simplicial\npresheaves on a site to obta
 in a non-abelian version of Verdier's\nhypercovering theorem.
LOCATION:MR5\, Centre for Mathematical Sciences
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