Vision and Members
센터목표
본 연구센터는 표현론, 수론, 기하학에서 주요하게 제기되는 양자화된 대수적 구조의 연구를 통해 과거 독립적으로 연구되었던 분야들 간의 연관성을 구체적으로 규명하는 것을 목표로 하고 있다. 구체적으로 본 센터의 연구목표와 비전은 아래와 같다.
(1) 양자군과 헤케대수의 대수적, 산술적 구조 연구
(2) 사교다양체의 위상구조, 플로어이론, 양자대수 구조 연구
(3) 클러스터대수, 보형형식, 양자군, 사교기하학, 거울대칭의 연결고리를 설명하는 이론의 규명
The research at the center for quantum structures in modules and spaces (QSMS) is centered around the quantized algebraic structures naturally arising from representation theory, number theory and geometry. Our aim is to investigate these algebraic structures and find concrete connections between them: the topics include
(1) algebraic and arithmetic structures of quantum groups and Hecke algebras
(2) topological and quantized algebraic structure of symplectic geometry, and Floer theory
(3) the connection between cluster algebras, modular forms, quantum groups, symplectic geometry, and mirror symmetry
구성원
제1그룹 모듈의 양자대수구조 (Quantum Algebraic Structures in Modules)
권재훈 Jae Hoon Kwon (Director)
- 서울대학교(Seoul National University)
- Representation theory of Lie (super)algebras and their quantum groups
- jaehoonkw at snu dot ac dot kr, https://sites.google.com/site/jaehoonkw/home
김명호 Myungho Kim
- 경희대학교(Kyung Hee University)
- Representation theory of quantum groups
- mkim at khu dot ac dot kr, Home
박의용 Euiyong Park
- 서울시립대학교(University of Seoul)
- Representation theory for quantum Kac-Moody algebras, Categorification for quantum Kac-Moody Lie algebras and its applications
- epark at uos dot ac dot kr, https://sites.google.com/site/epark1024/
오병권 Byeong-Kweon Oh
- 서울대학교(Seoul National University)
- Number Theory
- bkoh at snu dot ac dot kr, http://www.math.snu.ac.kr/~bkoh/
유화종 Hwajong Yoo
- 서울대학교(Seoul National University)
- Number theory, Arithmetic geometry
- hwajong at snu dot ac dot kr, https://sites.google.com/site/hwajong
제2그룹 공간의 양자대수구조 (Quantum Algebraic Structures in Spaces)
조철현 Cheol Hyun Cho (Deputy Director)
- 서울대학교(Seoul National University)
- Symplectic topology, Homological mirror symmetry, Stringy orbitfolds
- chocheol at snu dot ac dot kr, http://www.math.snu.ac.kr/~chocheol/
강정수 Jungsoo Kang
- 서울대학교(Seoul National University)
- Symplectic geometry, Floer theory
- jungsoo dot kang at snu dot ac dot kr, https://sites.google.com/site/jungsookangshome/
김유식 Yoosik Kim
- 부산대학교(Pusan National University)
- Symplectic topology, Floer theory, mirror symmetry, and integrable systems
- yoosik (at) pusan (dot) ac (dot) kr, https://sites.google.com/site/kimyoosik27/home
박종일 Jongil Park
- 서울대학교(Seoul National University)
- Topology(Topology of 4-Manifolds)
- jipark at snu dot ac dot kr, http://www.math.snu.ac.kr/~jipark/
조윤형 Yunhyung Cho
- 성균관대학교(Sungkyunkwan University)
- Hamiltonian Lie group actions, Lagrangian Floer theory, Mirror symmetry, Cluster varieties, Toric degenerations
- yunhyung at skku dot edu, https://sites.google.com/site/yhchomath/
홍한솔 Hansol Hong
- 연세대학교(Yonsei University)
- Symplectic Geometry, Lagrangian Floer theory, Homological mirror symmetry
- hansolhong at yonsei dot ac dot kr, https://sites.google.com/view/hansolhongmath/
선임연구원
최승일 Seung-Il Choi
- Combinatorial representation theory: Lie algebras, 0-Hecke algebras
- ignatioschoi at snu dot ac dot kr, https://ignatioschoi.github.io/
박지훈 Jeehoon Park
- Number theory, arithmetic algebraic geometry, and their connections with physics
- jpark.math at gmail dot com
- https://sites.google.com/view/
jeehoonpark/home
실방 캬퐁티에 Sylvain Carpentier
- Algebraic structures of integrable systems
- sylvain.carpentier23 at gmail dot com
- https://sylvaincarpentier.
github.io/
연수연구원
배한울 Hanwool Bae
- Symplectic Geometry, Lagrangian Floer theory, Homological mirror symmetry
- hanwoolb at gmail dot com, https://sites.google.com/view/hanwoolbae
김영훈 Young-Hun Kim
- Representation theory of 0-Hecke algebras, Symmetric functions and generalizations
- ykim.math at gmail dot com, https://yhkimmath.wordpress.com/
이석형 Seok Hyeong Lee
- Number Theory, Arithmetic Geometry
- lshyeong at snu dot ac dot kr
직원
기유정 Yoo Jeong Ki
- 사무실 25동 102호
- 연락처 02-880-4253, kyj0702 at snu dot ac dot kr