Extra Form
일정시작 2022-10-11
일정종료 2022-10-12
배경색상 #77CC00
반복주기 1
  • Date :  2022-10-11 (Tue) 10:00 ~ 11:30

2022-10-12 (Wed) 13:00 ~ 14:30

  • Place :   Zoom

  • Speaker :  오세진 (이화여자대학교)
  • Title :  (q,t)-Cartan matrix and representation theories related to the specializations of the matrix
  • Abstract :

In the last of 1990's, Frenkel and Reshetikhin introduced the two-parameter deform of Cartan matrix of finite type, usually called (q,t)-Cartan matrix, to construct two-parameter deformed version of W-algebra with a motivation arising from mathematical physics. Interestingly enough, it is proved that the q-deformed W-algebra W_q is isomorphic to the Grothedieck ring of quantum affine algebra, when it is of simply-laced finite type. In this talk, we will first see the relationship between $t=1$-specialization of (q,t)-Cartan matrix and the representation theory of quantum affine algebra by using finite root system and Dynkin quivers. If time permits, I would like to explain the relationship between $q=1$-specialization of (q,t)-Cartan matrix and the representation theory of quiver Hecke algebra, based on my works with collaborators. During the talk, I will mainly use easy examples such as type $A_3$ or $C_3$.  

 

 

 


List of Articles
No. Subject Author Date Views
Notice QSMS Mailing List Registration qsms 2021.09.09 35814
72 [QSMS Symplectic topology seminar-20240507]  Introduction to triangulated persistence categories qsms 2024.05.10 14079
71 [QSMS Symplectic topology seminar-20230828] From Babylonian lunar observations to global surfaces of section qsms 2023.08.21 19454
70 [QSMS Symplectic topology seminar 2024-07-03] Localized mirror functor and Nakajima quiver varieties qsms 2024.07.02 14360
69 [QSMS Symplectic topology seminar 20230817] Symplectic Torelli classes of positive entropy qsms 2023.08.14 18799
68 [QSMS Symplectic topology seminar 20230811, 0817] Spectral numbers in Tate Rabinowitz Floer Homology qsms 2023.08.04 18531
67 [QSMS Symplectic geometry seminar 2023-10-24] Linear bounds on rho-invariants and simplicial complexity of manifolds qsms 2023.10.24 17761
66 [QSMS Symplectic geometry seminar 2023-10-17, 18] New approaches to discovering symplectic non-convexity / Banach-Mazur distances in symplectic and contact geometry qsms 2023.10.10 17439
65 [QSMS Seminar 2024-06-05] Curves, line bundles and Fourier transform qsms 2024.06.02 13968
64 [QSMS Seminar 2023-12-13] A user’s guide to Schubert calculus of Lagrangian Grassmannians qsms 2023.11.27 18421
63 [QSMS Seminar 2023-10-06, 11-03] Algebraic group analogues of the Slodowy slices and the structure of the set of conjugacy classes in algebraic groups / Poisson q-W-algebras qsms 2023.09.11 18845
62 [QSMS Seminar 2023-05-17] Affinizations, R-matrices and reflection functors qsms 2023.05.04 18052
61 [QSMS Seminar 20220721] Finding ALL solutions qsms 2022.07.14 17188
60 [QSMS Seminar 2022.04.19] Universal objects in vertex algebra theory qsms 2022.04.07 18639
59 [QSMS Seminar 2022.04.05] Trialities of W-algebras qsms 2022.02.15 17617
58 [QSMS Seminar 2022.03.04 (시간변경)] Introduction to Supersymmetric Field Theories qsms 2022.02.15 17638
57 [QSMS Seminar 2022-12-2] N=2 supersymmetric W algebras from Hamiltonian reduction qsms 2022.11.25 15818
56 [QSMS Seminar 2022-10-25] Rational liftings and gRSK qsms 2022.10.08 16087
» [QSMS Seminar 2022-10-11] (q,t)-Cartan matrix and representation theories related to the specializations of the matrix file qsms 2022.09.18 19069
54 [QSMS Seminar 2022-09-27] Categories of Whittaker Modules over Lie superalgebras and Categorification of Fock Spaces qsms 2022.09.20 19171
53 [QSMS Seminar 2022-08-31] Localization of the category of modules over quiver Hecke algebras qsms 2022.08.25 17242
Board Pagination Prev 1 2 3 4 5 6 7 8 Next
/ 8