Equidistribution of expanding translates of smooth curves in homogeneous spaces under the action of a product of SO(n,1)'s
김수현
온라인
0
284
2025.11.13 10:59
| 구분 | 초청강연 |
|---|---|
| 일정 | 2025-11-13(목) 11:00~12:00 |
| 세미나실 | 온라인 |
| 강연자 | 신유빈 (Ohio State University) |
| 담당교수 | 임선희 |
| 기타 |
제목 : Equidistribution of expanding translates of smooth curves in homogeneous spaces under the action of a product of SO(n,1)'s
초록: We study the limiting distributions of expanding translates of a compact segment of a smooth curve under a diagonal subgroup of G = SO(n₁,1) × ⋯ × SO(nₖ,1), where G acts on a finite volume homogeneous space L/Γ as a subgroup. We show that the expanding translates of the curve become equidistributed in the orbit closure of G, provided that Lebesgue almost every point on the curve avoids a certain countable collection of algebraic obstructions. In this talk, we will discuss the characterization of this collection of obstructions, compare this to previous results and discuss difficulties that arise due to the smooth curve condition.
Zoom 주소: https://snu-ac-kr.zoom.us/j/6654247590?pwd=UjdrTEhKdkhrZE9ieDEvdm1VaHNvdz09&omn=89781534519
회의 ID: 665 424 7590
암호: dynamics
