Online algebra seminar - September 10, 1pm Print

We will continue online on Thursday, September 10, at 1pm on ZOOM platform (for information how to acces seminar and next programme visit this page) by the talk:

Edoardo Lanari (Czech Academy of Sciences)

Gray tensor products and lax functors of (∞,2)-categories

We give a definition of the Gray tensor product in the setting of scaled simplicial sets which is associative and forms a left Quillen bifunctor with respect to the bicategorical model structure of Lurie. We then introduce a notion of oplax functor in this setting, and use it in order to characterize the Gray tensor product by means of a universal property. A similar characterization was used by Gaitsgory and Rozenblyum in their definition of the Gray product, thus giving a promising lead for comparing the two settings.  This is a report on joint work with A. Gagna and Y. Harpaz.

Last Updated on Tuesday, 08 September 2020 16:01