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Speaker:

Brice le Grignou
Affiliation:

Utrecht
Date:

Thu, 15/12/2016 - 16:30 - 17:30
Location:

MPIM Lecture Hall
Parent event:

Higher Geometric Structures along the Lower Rhine VIII In this talk, I will describe the homotopy theory of differential graded unital associative algebras. We already know that they are organized into a model category whose weak equivalences are quasi-isomorphisms. However, the computations of cofibrant resolutions of algebras make this framework unwieldy. I will show that the category of dg unital associative algebras may be embedded into the category of curved coalgebras whose homotopy theory is equivalent but more manageable. Then, I will generalize this method to the case of dg operads and to the case of algebras over an operad.

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