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Deformation Theory Seminar

Monday, October 10, 2022 - 1:45pm

Michael Monaco



University of Pennsylvania

4C4 and

The starting time is when the room is available, allowing for people to zoom in or arrive in person. This time on Monday will be our canonical time.

The plus construction was introduced by Baez-Dolan as a means for defining their notion of an opetope and by another name with another intent by Getzler and Kapranov. The plus construction has since proven to be a key component in different operadic theories such as the Feynman categories of Kaufmann and Ward. In this talk, I will discuss joint work with Ralph Kaufmann where we generalize the plus constructions to an endofunctor of symmetric monoidal categories. A special case is given by unique factorization categories whose plus construction yields Feynman categories. As an upshot, we can use this to connect the plus construction to monoid definitions of operad-like structures.

This is NOT Quillen's plus construction