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Colloquium
Arithmetic Chern-Simons theory
작성자Author
관리자
작성일Date
2017-09-11 10:00
조회Views
1000
| 분야Field | 2017 Math Colloquium | ||
|---|---|---|---|
| 날짜Date | 2017-09-15 | 시간Time | 15:50 ~ 18:00 |
| 장소Place | Math. Bldg. 404 | 초청자Host | |
| 연사Speaker | Jeehoon Park | 소속Affiliation | POSTECH |
| TOPIC | Arithmetic Chern-Simons theory | ||
| 소개 및 안내사항Content | Title: Arithmetic Chern-Simons theory Abstract:The Chern-Simons 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 3-manifold, for example, the Jones polynomial of knots. The arithmetic Chern-Simons theory, initiated by Minhyong Kim, is an arithmetic analogue of the Chern-Simons theory, which is expected to attack the number theory problem (Galois theory problem, L-functions, Iwasawa theory, and etc) guided by physics (quantum field theory) and topology principles and techniques appearing in the Chern-Simons theory. In this talk, we will briefly explain the analogy between primes in a number field and knots in a 3-manifold, and define the arithmetic Chern-Simons action. Then we will provide arithmetic applications to a certain Galois embedding problem based on an explicit computation of the arithmetic Chern-Simons action. This is a joint work with Hee-Joong Chung, Dohyeong Kim, Minhyong Kim, and Hwajong Yoo. |
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