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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > The nerve of a differential graded algebra

## The nerve of a differential graded algebraAdd to your list(s) Download to your calendar using vCal - Getzler, E (Northwestern University)
- Friday 05 April 2013, 09:30-10:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Grothendieck-Teichmller Groups, Deformation and Operads The nerve of a differential graded algebra is a quasicategory: in this talk, we explain what the quasi-iso-morphisms 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 n-stack, that is, a quasicategory enriched in Banach analytic spaces. We show that Kuranishi’s approach yields a finite dimensional Lie n-stack 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. ## This talk is included in these lists:- All CMS events
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