Colloque des sciences mathématiques du Québec

1 avril 2022 de 14 h 00 à 15 h 00 (heure de Montréal/HNE) Réunion Zoom

Gentle algebras, surfaces and a glimpse of homological mirror symmetry

Colloque par Sibylle Schroll (University of Cologne)

Derived categories are in general not easy to parse. However, in certain cases, combinatorial models give a good picture of these categories. One such case are the bounded derived categories of gentle algebras which can be represented in terms of curves and crossings of curves on surfaces. In this talk, we will give the construction of these surface models and briefly explain how they are connected to the homological mirror symmetry programme. We will show how a combination of surface combinatorics and representation theory can give new insights into the associated categories.