中国科学院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

学术报告

表示论研讨班

Speaker:覃帆 教授（北京师范大学）

Inviter: 聂思安 研究员

Language: Chinese

Title: Kazhdan-Lusztig type bases for cluster algebras

Time&Venue: 2025年6月12日（星期四） 14: 30-15: 30 & N818

Abstract:In this talk, we give a gentle introduction to quantum cluster algebras and their common triangular bases, which are determined by Kazhdan–Lusztig–type algorithms. We present results concerning the existence, the positivity, and the quasi-categorification of these bases when the cluster algebras arise from Lie theory or Teichmüller theory.