BIMSA > BIMSA AG Seminar BIMSA AG Seminar Perverse schobers in representation theory and its applications
Perverse schobers in representation theory and its applications
Organizers
Artan Sheshmani , Nanjun Yang , Beihui Yuan
Speaker
Fan Li
Time
Thursday, April 2, 2026 3:00 PM - 4:00 PM
Venue
A6-101
Online
Zoom 638 227 8222 (BIMSA)
Abstract
Perverse schobers, introduced by Kapranov and Schechtman, are a conjectural categorification of perverse sheaves. In this talk, we will present Merlin Christ’s framework for perverse schobers parametrized by spanning ribbon graphs embedded in surfaces with boundary, formulated in terms of constructible sheaves of stable $\infty$-categories. It can provide an $\infty$-category of global sections of perverse schober supported on a ribbon graph, and describe the monodromy around the singularities. As an application, we also use perverse schobers to study the space of stability conditions on triangulated categories.