Fusion-stable tilting/stability structures on triangulated categories

Abstract: We study fusion-stable tilting/stability structures on triangulated categories and show that the space of Fusion-stable stability conditions form a complex manifold. As an application, we give a new proof of $K(\pi,1)$-conjecture for finite non-simply laced Coxeter-Dynkin type. This is a joint work with Qiu Yu.

Mathematics

Audience: researchers in the topic

European Quantum Algebra Lectures (EQuAL)

Series comments: EQuAL is an online seminar series on quantum algebra and related topics such as topological and conformal field theory, operator algebra, representation theory, quantum topology, etc. sites.google.com/view/equalseminar/home