中科院数学与系统科学研究院

数学研究所

学术报告

表示论研讨班

报告人: 周宇教授（清华大学）  

题  目：Silting theory and cluster theory （II）

时  间：2024.04.30（星期二）9：00-10：00

地  点：S817

摘  要：Cluster algebras were introduced by Fomin and Zelevinsky around 2000. Over the last twenty years, the cluster phenomenon was spotted in various areas in mathematics, as well as in physics, including combinatorics, commutative and non-commutative algebraic geometry, and the representation theory of quivers and finite-dimensional algebras. In this series of lectures, I will focus on the new developments in algebraic representation theory inspired by cluster theory, particularly silting theory and its applications.

In the second lecture, I will introduce tau-tilting theory, which completes tilting theory from the viewpoint of mutation. I will also talk about the connections between tau-tilting theory and torsion theory, silting theory, and cluster theory.