Speaker: 周宇教授，清华大学

Inviter: 方明研究员

Title: Silting theory and cluster theory （IV）

Language: Chinese

Time & Venue: 2024.05.14 09：00-10：00 S817

Abstract: 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 fourth lecture, I will explain why tau-tilting theory not only completes tilting theory from the perspective of mutations but also from the perspective of establishing connections between the module categories of two algebras, which is the most important application of tilting theory. For this purpose, we will also discuss the significant role that silting theory plays in this context.