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Perverse schobers in representation theory and its applications

组织者

阿尔坦·谢什马尼 , 杨南君 , 袁北彗

演讲者

Fan Li

时间

2026年04月02日 15:00 至 16:00

地点

A6-101

线上

Zoom 638 227 8222 (BIMSA)

摘要

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.