The nerve of a differential graded algebra
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If you have a question about this talk, please contact Mustapha Amrani.
GrothendieckTeichmller Groups, Deformation and Operads
The nerve of a differential graded algebra is a quasicategory: in this talk, we explain what the quasiisomorphisms look like in this quasicategory. If the dg algebra A is a dg Banach algebra concentrated in dimensions i>n , the nerve of A is a Lie nstack, that is, a quasicategory enriched in Banach analytic spaces. We show that Kuranishi’s approach yields a finite dimensional Lie nstack parametrizing deformations of a complex of holomorphic vector bundles on a compact complex manifold of length n. This is joint work with Kai Behrend.
This talk is part of the Isaac Newton Institute Seminar Series series.
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