Colloquium
Arithmetic ChernSimons theory
작성자Author
관리자
작성일Date
20170911 10:00
조회Views
712
분야Field  2017 Math Colloquium  

날짜Date  20170915  시간Time  15:50 ~ 18:00 
장소Place  Math. Bldg. 404  초청자Host  
연사Speaker  Jeehoon Park  소속Affiliation  POSTECH 
TOPIC  Arithmetic ChernSimons theory  
소개 및 안내사항Content  Title: Arithmetic ChernSimons theory Abstract:The ChernSimons theory is a gauge theory which is a version of (2+1)dimensional TQFT (topological quantum field theory). It provided a useful framework and tools to understand the topology of knots in a 3manifold, for example, the Jones polynomial of knots. The arithmetic ChernSimons theory, initiated by Minhyong Kim, is an arithmetic analogue of the ChernSimons theory, which is expected to attack the number theory problem (Galois theory problem, Lfunctions, Iwasawa theory, and etc) guided by physics (quantum field theory) and topology principles and techniques appearing in the ChernSimons theory. In this talk, we will briefly explain the analogy between primes in a number field and knots in a 3manifold, and define the arithmetic ChernSimons action. Then we will provide arithmetic applications to a certain Galois embedding problem based on an explicit computation of the arithmetic ChernSimons action. This is a joint work with HeeJoong Chung, Dohyeong Kim, Minhyong Kim, and Hwajong Yoo. 
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