| 구분 |
학과 세미나/콜로퀴엄 |
| 분류 |
박사학위심사 |
| 제목 |
3차원 쌍곡다양체의 부피와 천-사이먼스 불변량의 재정규화 |
| Abstract |
We renormalize the Chern-Simons invariant for convex-cocompact hyperbolic 3-manifolds, finding the explicit asymptotics along an equidistance foliation. We prove that the divergent terms are completely expressed in terms of the data from the Weitzenböck geometry of hyperbolic ends and the conformal boundary. For this, it is essential to extend the framework of submanifolds in Riemannian geometry to Riemann-Cartan geometry, which addresses connections with torsion. This procedure naturally introduces a complex-valued geometric quantity consisting of mean curvature and torsion 2-form, which appears in the leading coefficient of the asymptotics. We also obtain several geometric results regarding the complex-valued quantity that generalize classical minimal surface theory. |
| 일시 |
2025-12-02
(Tue) / 10:00 ~ 11:00 ** 날짜에 유의하세요. ** |
| 장소 |
자연과학동(E6) Room 4415 |
| 강연언어 |
한국어 |
| 강연자성명 |
이동하 |
| 강연자소속 |
KAIST |
| 강연자홈페이지 |
https://sites.google.com/view/dongha-lee/home |
| 기타정보 |
심사위원장: 백형렬, 심사위원: 박진성(KIAS), 김현규(KIAS), 박정환, 최서영. |
| 초청인 |
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| URL |
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| 담당자 |
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| 연락처 |
leejydh97@kaist.ac.k |
