Quebec Mathematical Sciences Colloquium

April 1, 2022 from 14:00 to 15:00 (Montreal/EST time) Zoom meeting

Gentle algebras, surfaces and a glimpse of homological mirror symmetry

Colloquium presented by 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.