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Formal deformation theory in left proper model categories: the case of differential graded commutative algebras.

Marco Manetti
Institution: 
Università di Roma 1
Location: 
A-136
Schedule: 
Thursday, November 30, 2017 - 16:00
Abstract: 

the aim of the talk is to describe the classical notion of (infinitesimal) deformations  of an affine scheme over a field of characteristic 0 entirely in terms ofthe model structure in the category of nonpositively graded differential graded commutative algebras.This allows to define naturally  the notion of deformation of an affine DG-Scheme, even over a DG-Artin ring, extending the classical case and in accord with the general principle that ``deformations are controlled by the DG-Lie algebra of derivations of a cofibrant resolution''.

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