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A cotangent complex formalism via integral model structures

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If you have a question about this talk, please contact Dr Ignacio Lopez Franco .

In the first part, I will describe how to endow the Grothendieck construction of a functor from a model category to the category of model categories with a canonical “integral” model structure. In the second part, I will indicate how the integral model structure can be used to develop a model-categorical cotangent complex formalism that parallels the one in Higher Algebra.

This is a joint work with Yonatan Harpaz and Joost Nuiten.

This talk is part of the Category Theory Seminar series.

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