Effective equidistribution in rank 2 homogeneous spaces and values of quadratic forms
김성민
129동 309호
0
73
07.22 09:11
| 구분 | 쌍공동역학 |
|---|---|
| 일정 | 2025-07-22(화) 13:00~16:00 |
| 세미나실 | 129동 309호 |
| 강연자 | Amir Mohammadi (University of California, San Diego) |
| 담당교수 | 임선희 |
| 기타 |
* 강연시간: 13:30 ~ 15:30
We establish effective equidistribution theorems, with a polynomial error rate, for orbits of unipotent subgroups in quotients of quasi-split, almost simple Linear algebraic groups of absolute rank 2.
As an application, inspired by the results of Eskin, Margulis and Mozes, we establish quantitative results regarding the distribution of values of an indefinite ternary quadratic form at integer points, giving in particular an effective and quantitative proof of the Oppenheim Conjecture.
