There are multiple classes of triangulated categories arising from marked surfaces whose
spaces of stability conditions are described by moduli spaces of quadratic differentials on …

We study a class of generalized cluster categories arising from relative Ginzburg algebras of
triangulated marked surfaces without punctures. We show that these categories describe $1 …

We discuss relative Calabi-Yau structures on functors between $ R $-linear stable $\infty $-
categories, with $ R $ any $\mathbb {E} _\infty $-ring spectrum, generalizing previous …

We study the moduli space of quadratic differentials with prescribed singularities
parameterized by a decorated marked surface with punctures (DMSp), where simple zeros …

We introduce a class of dg-algebras which generalize the classical Brauer graph algebras.
They are constructed from mixed-angulations of surfaces and often admit a (relative) Calabi …

We introduce a framework for the description of categorified perverse sheaves, called
perverse schobers, on surfaces with boundary in terms of constructible sheaves of stable∞ …

Lecture 3: Constructible sheaves on graphs We discuss how to describe constructible
sheaves on ribbon graphs in terms of functors out of the exit-path category. Such ribbon …

The goal of this short course is to give an introduction to perverse schobers on surfaces and
explain applications to the representation theory of dg-algebras such as Ginzburg algebras …