Seminar - October 25, 1pm, lecture room M5 PDF Print

Our Algebra seminar will continue on Thursday, October 25, at 13.00 in M5 by the talk

S. Henry

Transfinite constructions in infinity categories

I'll present an adaptation in infinity categorical context of some classical "transfinite constructions" in category theory: the construction of the free algebras for a (pointed,well pointed) endofunctor and the construction of colimits in the category of algebras for a monad. A large part of the talk will be a basic introduction to infinity category theory (quasi-category theory) and to the Riehl-Verity theory of infinity-monads. The goal is mostly to give some example of what it look like to works with infinity categories and how it changes from ordinary category theory.