Další seminář z algebry se koná 10.9.2020 od 13.00 online na platformě ZOOM. Informace pro připojení a další program semináře je zde.

Edoardo Lanari (Czech Academy of Sciences)

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

Abstrakt:
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.