Speaker: Dr. MOU Lang, Postdoc, Hausdorff Research Institute for Mathematics
Time: 2021/1/19，10:00-11:30
2021/1/20，15:30-17:00
2021/1/22，15:30-17:00
Venue: Room 200-9, Business Administration Building, Yuquan Campus
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.