[Seminar 2021.06.15, 06.22] Cluster algebras with a view toward the Jacobian conjecture

일시:  6월 15일 (화요일),  22일 (화요일)  14:00 ~ 16:00

장소:  회의 ID(819 2555 2324,  Link)   or  129동 406호

제목:  Cluster algebras with a view toward the Jacobian conjecture

연사:  이경용 교수 (University of Alabama)

초록:

The Jacobian conjecture concerns the automorphisms of polynomial rings. We present an approach to the two-dimensional Jacobian conjecture, which uses certain joint divisibility conditions. This joint-divisibility has been motivated by the theory of cluster algebras, in particular, the construction of Lee-Li-Zelevinsky's greedy basis and Gross-Hacking-Keel-Kontsevich's theta basis. In this series of talks, I will explain the Jacobian conjecture, greedy basis, theta basis, and joint divisibility. No prior knowledge on the Jacobian conjecture or cluster algebras is necessary.