Relative Calabi-Yau structures and topological Fukaya categories with coefficients

par Merlin Christ (IMJ-PRG)

mardi 30 avr. 2024, 14:00 → 15:00 Europe/Paris

IMT 1R2 207 (Salle Pellos)

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.