Séminaire d'Homotopie et Géométrie Algébrique

Relative Calabi-Yau structures and topological Fukaya categories with coefficients

par Merlin Christ (IMJ-PRG)

Europe/Paris
IMT 1R2 207 (Salle Pellos)

IMT 1R2 207

Salle Pellos

Description

In this talk we will survey the notion of a relative Calabi-Yau structure on a linear stable infinity-category and how examples of such relative Calabi-Yau structures naturally arise from categorified perverse sheaves on surfaces. Such categorified perverse sheaves are called perverse schobers. The infinity-category of global sections of a perverse schober F is also referred to as the topological Fukaya category of the surface with coefficients in F.