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일정시작 2021-06-15
일정종료 2021-06-22
배경색상 #77CC00
반복주기 7
반복단위 1.일(단위)

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.

 

 

 

 

 


List of Articles
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77 [SNU Number Theory Seminar 2021.12.03] Algebraization theorems in complex and non-archimedean geometry qsms 2021.11.19 50725
76 [QSMS Monthly Seminar] Smoothing of Fano varieties and mutations qsms 2021.09.23 50754
75 [SNU Number Theory Seminar 2022-12-02] Torsion points and concurrent exceptional curves on del Pezzo surfaces of degree one qsms 2022.11.28 50758
74 [Seminar 2020.12.10] Zeta함수와 L함수에 대한 역사적 고찰III qsms 2020.12.08 50825
73 [QSMS Seminar 2022.04.19] Universal objects in vertex algebra theory qsms 2022.04.07 50838
72 [Seminar 2020.12.23] Zeta함수와 L함수에 대한 역사적 고찰V qsms 2020.12.21 50855
71 [QSMS Monthly Seminar 2023-10-13] Quantum Grothendieck rings of Hernandez-Leclerc categories / Regular Schur labeled skew shape posets and their 0-Hecke modules qsms 2023.10.13 51099
70 [Seminar 2021.05.12] Equivariant symplectic homology qsms 2021.05.06 51172
69 [Seminar 2021.01.21] Zeta함수와 L함수에 대한 역사적 고찰VIII qsms 2021.01.18 51196
68 [QSMS Monthly Seminiar] Symplectic homology and the McKay correspondence qsms 2021.01.11 51218
67 [SNU Number Theory Seminar 2022.03.18] On p-rationality of $\mathbb{Q}(\zeta_{2l+1})^{+}$ for Sophie Germain primes $l$ qsms 2022.03.19 51260
66 [BK21-QSMS Toric Geometry Seminar] Moment Polytope qsms 2022.01.03 51320
65 [QSMS Representation theory seminar 2023-12-28] Generalized polynomial functors qsms 2023.12.15 51345
64 [사교위상 초청강연 2021.07.16] Categorical entropy and symplectic geometry qsms 2021.07.05 51398
63 [Seminar 2021.05.28] Ramanujan continued fractions of order sixteen qsms 2021.05.21 51424
62 [2021 KMS Annual Meeting] Related talks qsms 2021.10.05 51494
» [Seminar 2021.06.15, 06.22] Cluster algebras with a view toward the Jacobian conjecture qsms 2021.05.28 51508
60 [Seminar 2021.02.25] Zeta함수와 L함수에 대한 역사적 고찰IX qsms 2021.02.22 51516
59 [Seminar 2021.04.29] A realization of type A finite $W$-(super)algebra in terms of (super) Yangian qsms 2021.04.09 51557
58 [Seminar 2021.04.02] CM congruence and the derivatives of p-adic L-functions for imaginary quadratic fields qsms 2021.04.19 51579
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