## University of Calgary Peripatetic Seminar: Florian Schwarz (Hybrid)

• Date: 05/13/2022
Lecturer(s):
Florian Schwarz, University of Calgary
Location:

Hybrid

Topic:

Tangent categories, Cartesian differential categories and how they are related

Description:

Tangent categories are a categorical generalization of the category of manifolds by having maps like the projection and the zero-section of the tangent bundle that fulfill certain relations. With a similar strategy, Cartesian differential categories generalize the category of finite-dimensional R-vector spaces and smooth maps.Unsurprisingly the construction generalizing manifolds and the construction generalizing vector-spaces are related. More precisely there is an adjunction between the category of Cartesian tangent categories and the category of Cartesian differential categories. Explaining this adjunction is the main goal of this talk.

Abstract

Other Information:

Location: MS325

Time: 1 pm MST/ 12 pm PST

*For the Zoom online passcode, please email for sacha.ikonicoff@ucalgary.ca for details.