Uniform distribution in homogeneous spaces, o-minimal structures and homogeneous dynamics
김수현
129동 104호
0
78
10.31 09:35
| 구분 | DASOM |
|---|---|
| 일정 | 2025-12-17(수) 14:00~16:00 |
| 세미나실 | 129동 104호 |
| 강연자 | Bersudsky Michael (서울대) |
| 담당교수 | 임선희 |
| 기타 |
일시: 11/5(수), 11/12(수), 11/19(수), 12/3(수), 12/10(수), 12/17(수), 12/24(수), 12/31(수) 14:00~16:00
장소: 129동 104호
제목: Uniform distribution in homogeneous spaces, o-minimal structures and homogeneous dynamics
초록: In this lecture series, I will discuss some of my recent works on uniform distribution in homogeneous spaces and explain how o-minimal structures can serve as a useful tool in this area. The following are the two main topics that I will discuss:
1. Sparse points on dilating analytic curves in the torus in the torus. Here, o-minimal methods help control exponential sums.
2. O-minimal curves in homogeneous spaces. This part combines o-minimal geometry with the linearization technique to prove new equidistribution results on unbounded curves in homogeneous spaces.
Throughout the series, I plan to give an intuitive sense of when o-minimal structures might be useful and to point out some problems in this research direction.
