| (04-22 16:00)[BK21 초청강연] How homogeneous dynamics can be useful in problems in the geometry of numbers II | |||||
| 작성자 | 과사무실 | ||||
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| 조회수 | 415 | 등록일 | 2022.03.28 | ||
| 일시 | 2022-04-22 16:00~17:00 | ||||
| 연사 | 한지영 (Tata institute of fundamental research, Mumbai) | ||||
| 장소 | 온라인 ( Zoom ID : 추후공개 ) | ||||
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일시: 2022년 4월 22일 (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 II 초록 In the second talk, we will review Iwasawa decomposition of a semisimple Lie group and its geometric interpretation on the upper hyperbolic plane when a Lie group is SL(2,R). We will also see the geometric glance of Ratner's theorems in this case. Using Ratner's theorems, one can approach the Oppenheim conjecture, which is asking when a quadratic form has arbitrary small values of integral lattice points. This idea originated from Margulis.
링크: https://cnu-ac-kr.zoom.us/j/85981245649?pwd=Z2s0OHRuSmJtV3FDeG8rei9CU1FzQT09
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