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Simplicial approaches to derived $C^\infty$-geometry

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Speaker: 
Dennis Borisov
Affiliation: 
MPIM
Date: 
Thu, 12/01/2012 - 16:30 - 17:30
Location: 
MPIM Lecture Hall

I will prove that derived $C^\infty$-geometry, defined by gluing simplicial $C^\infty$-spaces up to homotopy, can be faithfully expressed through the usual category of simplicial $C^\infty$-rings. In particular, I will show equivalence to D.Spivak's construction. (Joint work with J.Noel) 

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