Séminaires : Séminaire d'Algèbre

A complex of stable infinity-categories is a categorification of a chain complex, meaning a sequence of stable infinity-categories together with a differential that squares to the zero functor. Examples of such categorical complexes arise for instance via a categorification of the totalization construction, which produces a categorical complex from a categorical multi-complex, such as a commuting cube of stable infinity-categories. We will then explain how categorified perverse sheaves, also known as perverse schobers, on C^n (with a certain stratification) can be described in terms of categorical cubes and categorical complexes of spherical functors, and what categorical totalization means in this case geometrically. This talk is based on joint work with T. Dyckerhoff and T. Walde. 

This talk will take place in hybrid mode at the Institut Henri Poincaré.