kms 대한수학회

PMI-SNU Quantum Topology Winter School이 서울대에서 열립니다.

강연자, 일정 및 강연 주제는 아래와 같습니다.

1. 김현규(KIAS), 2월 15일~19일 10시~12시

Title : Teichmüller space, cluster algebra, and their quantization 

Abstract : My series of lectures is divided roughly into three parts. First is introduction of basic aspects of the theory of cluster algebras, which was initiated by Fomin and Zelevinsky at around early 2000's. I will start by easy definitions and examples using quivers, and will refine the definition as we move on. Second is about cluster varieties, in the sense of Fock and Goncharov. One can think of cluster varieties as algebro-geometric spaces whose rings of functions are cluster algebras. As a special case, we will realize classical Teichmuller spaces as examples of cluster varieties. Third is about quantization.
The commutative rings will be replaced by non-commutative rings of operators on Hilbert spaces, along with the corresponding mutation maps. No prior knowledge on the subject is assumed. I will use only very basic notions in elementary algebra, algebraic geometry, and analysis.

2. 정희중(KIAS), 2월 15일~18일 14시~16시

Title : Topics in Chern-Simons Theory

Abstract : We will firstly introduce some physics background for later discussion. Then we will move on to Chern-Simons theory with compact and complex gauge group. Also, some recent developments including state integral model will be discussed.

3. 조진석(PMI), 2월 19일 14시~16시

Title : Cluster algebra on the braids

Abstract : We will introduce the cluster algebra of the braids proposed by Hikami-Inoue and its relation to the hyperbolic structures of links.
Then the answer to the Hikami-Inoue conjecture will be given.

organizers : 김혁(서울대 수리과학부), 조진석(포항수학연구소 PMI)

**이번 겨울 학교는 별도의 등록없이 진행됩니다.

문의 : 조진석(dol0425@postech.ac.kr )