Wall-crossing structures and their applications in cluster algebras
报告人:牟浪 博士(德国Hausdorff Institute for Mathematics)
时间:2021/1/19,上午10:00-11:30;
2021/1/20,下午3:30-5:00;
2021/1/22,下午3:30-5:00
地点:工商楼200-9
Abstract
Lecture 1: I will give an introduction to Kontsevich-Soibelman's wall-crossing structures with some motivating examples towards applications in cluster algebras and Donaldson-Thomas theory of quivers (with potentials).
Lecture 2: I will explain the definitions of Gross-Hacking-Keel- Kontsevich's cluster scattering diagrams and Bridgeland's stability scattering diagrams, their relations, and how they can be used to study the corresponding cluster algebras. They are examples of wall-crossing structures introduced in the last lecture.
Lecture 3: I will introduce some recent efforts to study cluster algebras of skew-symmetrizable types and Chekhov and Shapiro's generalized cluster algebras by generalizing previous scattering diagrams.
联系人:李方 fangli@zju.edu.cn