Toward a random quantification of the Oppenheim conjecture for symplectic forms
김성민
129동 301호
0
1706
2025.07.02 09:33
| 구분 | 정수론-동역학 |
|---|---|
| 일정 | 2025-08-04(월) 09:30~12:30 |
| 세미나실 | 129동 301호 |
| 강연자 | 한지영 (부산대) |
| 담당교수 | 임선희 |
| 기타 |
* 시간: 09:30~11:00
Abstract: Since the celebrated theorem of Margulis, solving Oppneheim conjecture-typed problems has been a central theme of homogeneous dynamics. In this talk, we introduce the Oppenheim conjecture and its random quantitative formulation. If time permits, we will briefly sketch the proofs, especially how Ratner’s orbit closure theorem enters in the qualitative result, and how Rogers’ higher moment formulas influence the dimension-rank condition in the random quantitative version.
