Morita Cohomology, Loop Spaces and Homotopy Locally Constant Sheaves

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• Julian Holstein
• Wednesday 14 May 2014, 14:15-15:15
• MR 13, CMS.

If you have a question about this talk, please contact Dr. J Ross.

This talk introduces two categorifications of the cohomology of a topological space X obtained by taking coefficients in the model category of differential graded categories. We consider both derived global sections of a constant presheaf and singular cohomology and find the resulting dg-categories are quasi-equivalent. Moreover this categorified cohomology is quasi-equivalent to homotopy locally constant sheaves on X and to representations in perfect complexes of chains on the based loop space of X.

This talk is part of the Algebraic Geometry Seminar series.

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