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SUMMARY: Morita Cohomology\, Loop Spaces and Homotopy Locally Constant She
 aves - Julian Holstein
DTSTART:20140514T131500Z
DTEND:20140514T141500Z
UID:TALK50150@talks.cam.ac.uk
CONTACT:Dr. J Ross
DESCRIPTION:This talk introduces two categorifications of the cohomology o
 f a topological space X obtained by taking coefficients in the model categ
 ory of differential graded categories.  We consider both derived global se
 ctions of a constant presheaf and singular cohomology and find the resulti
 ng dg-categories are quasi-equivalent. Moreover this categorified cohomolo
 gy is quasi-equivalent to homotopy locally constant sheaves on X and to re
 presentations in perfect complexes of chains on the based loop space of X.
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LOCATION:MR 13\, CMS
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