Title: Quiver Hecke Algebras and applications
Speaker: Prof. Peng Shan (Yau Mathematical Sciences Center, Tsinghua University)
Time: 9:30-11:30, every Wed. between Jul. 8th and Jul. 29 th
Zoom Meeting ID: 184 3044 3981
Password:georep2020
Abstract: Quiver Hecke algebras play a prominent role in representation theory - they provide algebraic categorification of quantum groups, and they control symmetries on representations of Lie algebras and algebraic groups. More and more applications of these algebras are being discovered. In particular, recent series of works by Kang-Kashiwara-Kim-Oh-Park reveal deep links between quiver Hecke algebras, quantum affine algebras and monoidal categorification of cluster algebras. In this course, we will give an introduction to these topics.