Žan Grad, Fundamentals of Lie categories

What does it mean for a category to be endowed with a compatible differentiable structure? In this talk, we answer this question and provide an abundance of examples of such categories arising naturally in differential geometry. We will discuss the interplay of a categorical structure with that of a smooth manifold, and show how to describe Lie categories infinitesimally, similarly as to how we construct the Lie algebra of a Lie group.