?

Shortcut

PrevPrev Article

NextNext Article

Larger Font Smaller Font Up Down Go comment Print
?

Shortcut

PrevPrev Article

NextNext Article

Larger Font Smaller Font Up Down Go comment Print
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
No. Subject Author Date Views
Notice QSMS Mailing List Registration qsms 2021.09.09 13300
30 [Seminar 2021.05.11] Knotted embeddings qsms 2021.05.06 3829
29 [Seminar 2021.05.06] Arithmetic properties of weakly holomorphic modular functions of arbitrary level qsms 2021.05.04 3960
28 [2021 KMS Spring Meeting] Related talks qsms 2021.04.30 7772
27 [Seminar 2021.04.16] Hecke system of harmonic Maass functions and applications to modular curves of higher genera qsms 2021.04.19 8605
26 [Seminar 2021.04.02] CM congruence and the derivatives of p-adic L-functions for imaginary quadratic fields qsms 2021.04.19 4914
25 [Seminar 05.14, 05.21, 05.28, 06.04] Introduction to derived categories qsms 2021.04.16 19569
» [Seminar 2021.04.23] Quiver Hecke algebras and unipotent quantum coordinate ring qsms 2021.04.09 4696
23 [Seminar 2021.04.29] A realization of type A finite $W$-(super)algebra in terms of (super) Yangian qsms 2021.04.09 5435
22 [Seminar 2021.04.02] Quantum affine analog of Kazhdan-Lusztig positivity for non-simply laced types via simply laced types qsms 2021.03.30 10865
21 [QSMS Monthly Seminar] A survey on symplectic fillings and Milnor fibers of a normal complex surface singularity qsms 2021.03.26 4149
20 [Seminar 2021.03.19] Introduction to zeta functions of groups and rings qsms 2021.03.04 4405
19 [Seminar 2021.03.03] Zeta함수와 L함수에 대한 역사적 고찰X qsms 2021.03.02 12020
18 [Seminar 2021.02.25] Zeta함수와 L함수에 대한 역사적 고찰IX qsms 2021.02.22 4207
17 [Seminar 2021.01.21] Zeta함수와 L함수에 대한 역사적 고찰VIII qsms 2021.01.18 4114
16 [QSMS Monthly Seminiar] Symplectic homology and the McKay correspondence qsms 2021.01.11 4208
15 [Seminar 2021.01.07] Zeta함수와 L함수에 대한 역사적 고찰VII qsms 2021.01.04 3868
14 [Seminar 2020.12.29] Zeta함수와 L함수에 대한 역사적 고찰VI qsms 2020.12.28 3909
13 [Seminar 2020.12.23] Zeta함수와 L함수에 대한 역사적 고찰V qsms 2020.12.21 3939
12 [Seminar 2020.12.17] Zeta함수와 L함수에 대한 역사적 고찰IV qsms 2020.12.08 3665
11 [Seminar 2020.12.10] Zeta함수와 L함수에 대한 역사적 고찰III qsms 2020.12.08 3842
Board Pagination Prev 1 2 3 4 5 6 7 8 Next
/ 8