Cluster Algebras and Higher Structures

• 主讲人：Fan Qin（Shanghai Jiao Tong University）
• 举办方： Beijing-Saint Petersburg Mathematics Colloquium
• 时间： 2023-12-07 21:00 - 2023-12-07 22:00
• 地点： online

Recording: https://disk.pku.edu.cn:443/link/DB945BAE16350718DCAF1DB28506BA3C
Valid Until: 2024-01-06 23:59

 

 

Abstract: We will use topological models to introduce cluster algebras, which are algebras with combinatorial structures. One fundamental problem in studying these algebras is looking for good bases. We will present how their generic bases (dual semi-canonical bases) arise from Calabi-Yau categories and how their triangular bases (Kazhdan-Lusztig type bases) arise from monoidal categories.

 

Bio: Fan Qin is an associate professor at Shanghai Jiao Tong University, China. He received his PhD from University Paris Diderot (Paris 7), France. His research focuses on algebra and representation theory, with particular emphasis on cluster algebras, their categorifications, and their connections to other fields such as Lie theory, combinatorics, geometry, and topology.