Hochschild cohomology of dg-categories, graded centers and spectral sequences
Plática dada por Frank Neumann (University of Leicester, Unidted Kingdom) en el evento Algebraic Geometry in Mexico 2017 el martes 28 noviembre del 2017 en Oaxaca, México.
Abstract:
Abstract: The Hochschild cohomology of a differential graded algebra, or a differential graded category, admits a natural map to the graded center of its homology category: the characteristic homomorphism. We interpret it as an edge homomorphism in a spectral sequence. This gives a conceptual explanation of the failure of the characteristic homomorphism to be injective or surjective, in general. To illustrate this, we discuss coherent sheaves over algebraic curves, as well as examples related to free loop spaces.
Video de la plática
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Frank Neumann en:
University of Leicester
https://www2.le.ac.uk/departments/mathematics/extranet/staff-material/staff-profiles/fn8
Mathematics Genealogy Project
https://www.genealogy.math.ndsu.nodak.edu/id.php?id=27719
Google Scholar
https://scholar.google.com/citations?user=11lcP4oAAAAJ&hl=en
arXiv
https://arxiv.org/find/math/1/au:+Neumann_F/0/1/0/all/0/1
ResearchGate
https://www.researchgate.net/profile/Frank_Neumann9
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