Speaker: Dr. Yu Zhou
Tsinghua University
Title: An introduction to silting theory (I--IV)
Time:02 Jan 2020, 10:00-11:30 Conference Room105 at Experiment Building at Haiyun Campus
03 Jan 2020, 10:00-11:30;15:30-17:00 Conference Room105 at Experiment Building at Haiyun Campus
04 Jan 2020, 10:00-11:30; Conference Room108 at Experiment Building at Haiyun Campus
Abstract: Silting objects were first introduced by Keller Vossieck to study bounded t-structures in triangulated categories later studied by Aihara Iyama to solve the definable problem of mutation of tilting, inspired by cluster theory. From contributions of several authors, it soon became clear that silting objects were connected with several concepts existing in the literature: t-structures, co-t-structures, torsion pairs, derived equivalences, tau-tilting theory, shod algebras, cluster theory so on. This series of lectures is devoted to giving an overview of recent developments in silting theory.