|DATE||November 20 (Wed), 2019|
|INSTITUTE||IBS Center for Geometry and Physics|
|TITLE||[GS_M_Topo] Homotopy theory of linear cogebras|
The homotopy theory of linear algebras over operads is now well known. There is a model structure and the homotopy category can be fully described using the Bar adjunction. In this talk, I will talk about the ‘co’ side of this theory. Indeed operads can also be used to encode cogebras and we shall see how to endow the category of cogebras over a linear operad with a model structure and how to use the Cobar functor to describe its homotopy category. This is joint work with Brice Le Grignou.