조회 수 17662 추천 수 0 댓글 0
?

단축키

Prev이전 문서

Next다음 문서

크게 작게 위로 아래로 댓글로 가기 인쇄
?

단축키

Prev이전 문서

Next다음 문서

크게 작게 위로 아래로 댓글로 가기 인쇄
Extra Form
일정시작 2021-04-23
배경색상 #77CC00

일시:  4월 23일 (금) 10:00 ~ 12:00

장소:  Zoom    or    129동 101호

제목:  Quiver Hecke algebras and unipotent quantum coordinate ring 

연사:  김명호 교수 (경희대)


초록:

In this talk we will review the categorification of quantum unipotent coordinate ring $U^{-}_q(w)$ via quiver Hecke algebras. Assume that  $g$ is a symmetrizable Kac-Moody algebra, $R$ is the corresponding quiver Hecke algebra, and $w$ is an element in the Weyl group of $g$.  Then there exists an abelian monoidal subcategory $C_w$ of the category of finite-dimensional graded $R$-modules such that the Grothendieck ring  $C_w$ is isomorphic to the unipotent quantum coordinate ring $U^{-}_q(w)$. Most of the time will be devoted to explaining this correspondence mainly following the paper "Monoidal categories associated with strata of flag varieties" by Kashiwara-Kim-Oh-Park.
 

 

 


List of Articles
번호 제목 글쓴이 날짜 조회 수
공지 QSMS Mailing List Registration qsms 2021.09.09 35538
132 [QSMS Representation theory seminar - 2023-10-17] A Data-Scientific Approach to Representation Theory: Case Study of Kronecker Coefficients qsms 2023.09.27 19823
131 [QSMS Monthly Seminar] Quiver Hecke algebras and open Richardson varieties qsms 2023.09.22 17003
130 [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 18632
129 [QSMS Symplectic topology seminar-20230828] From Babylonian lunar observations to global surfaces of section qsms 2023.08.21 19213
128 [QSMS Symplectic topology seminar 20230817] Symplectic Torelli classes of positive entropy qsms 2023.08.14 18601
127 [QSMS Symplectic topology seminar 20230811, 0817] Spectral numbers in Tate Rabinowitz Floer Homology qsms 2023.08.04 18318
126 [QSMS-BK21 Symplectic Seminar 28 July] Nonexistence of Exact K(G,1) Lagrangians in Milnor Fibers of Weighted Homogeneous Polynomials / Associative Yang-Baxter Equation and Fukaya Categories qsms 2023.07.17 18898
125 [QSMS-BK21 Symplectic Seminar 14 July] Introduction to 3D Mirror Symmetry, from a Symplectic Viewpoint / Orbifolding Lagrangian Floer Cohomology qsms 2023.07.12 17794
124 [SNU Number Theory Seminar 30 June] Do Tropical Markov Cubics dream of Hyperbolic Origami? qsms 2023.06.26 17780
123 [QSMS-BK21 Symplectic Seminar 30 June] Matrix Factorizations qsms 2023.06.26 18049
122 [QSMS-BK21 Symplectic Seminar 9 June] Physical Aspects of the Calegaro System / Introduction to BV Formalism qsms 2023.06.26 15095
121 [QSMS Monthly Seminar 2023-05-26] Lagrangian submanifolds and their Legendrian lifts qsms 2023.05.26 16807
120 [QSMS Geometry seminar 2023-05-25] Symplectic field theory and codimension-2 stable Hamiltonian submanifolds qsms 2023.05.25 18241
119 [QSMS-BK21 Symplectic Seminar 26 May] 1. Product structures on the relative symplectic cohomology 2. Symplectic homology of affine varieties qsms 2023.05.25 18230
118 [QSMS-BK21 Symplectic Seminar 12 May] Introduction to Floer Homotopy: Global Kuranishi Charts via Abouzaid-McLean-Smith qsms 2023.05.12 18033
117 [QSMS-BK21 Symplectic Seminar 28 Apr] PGL(2,Q_p)-ORBIT CLOSURES ON A p-ADIC HOMOGENEOUS SPACE OF INFINITE VOLUME qsms 2023.05.12 17038
116 [QSMS Seminar 2023-05-17] Affinizations, R-matrices and reflection functors qsms 2023.05.04 17805
115 [QSMS Monthly Seminar 2023-04-21] Lagrangian submanifolds and their Legendrian lifts qsms 2023.04.21 15556
114 [SNU Number Theory Seminar 2 June] A refined Tamagawa number conjecture for modular forms qsms 2023.04.20 15444
113 [SNU Number Theory Seminar 21 Apr] Selberg's central limit theorem of L -functions near the critical line qsms 2023.04.20 18145
Board Pagination Prev 1 2 3 4 5 6 7 8 Next
/ 8