| (04-15 16:00)[BK21 초청강연] How homogeneous dynamics can be useful in problems in the geometry of numbers I | |||||
| 작성자 | 과사무실 | ||||
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| 조회수 | 342 | 등록일 | 2022.03.28 | ||
| 일시 | 2022-04-15 16:00~17:00 | ||||
| 연사 | 한지영 (Tata institute of fundamental research, Mumbai) | ||||
| 장소 | 온라인 ( Zoom ID : 추후공개 ) | ||||
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일시: 2022년 4월 15일 (금) 16:00~17:00 장소: 온라인 줌 (ID 859 8124 5649 / PW 624917) 강사: 한지영 (Tata institute of fundamental research, Mumbai) 주제: How homogeneous dynamics can be useful in problems in the geometry of numbers I 초록 In the first talk, we will recall the continued fraction, badly approximable numbers (Diophantine approximation), and the SL(2,R)-action on the upper hyperbolic plane. The space SL(n,R)/SL(n,Z) is considered as the space of lattices in the n-dimensional real vector space with unit covolume. We will introduce the way to interpret Diophantine approximation in this homogeneous space (Dani correspondence). Our goal in this talk is to show that an irrational number x is badly approximable if and only if coefficients in the continued fraction of x are uniformly bounded in the homogeneous dynamical way.
링크: https://cnu-ac-kr.zoom.us/j/85981245649?pwd=Z2s0OHRuSmJtV3FDeG8rei9CU1FzQT09
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