Convex projective deformations of cusped hyperbolic manifolds
황승훈
27동 116호
0
64
2025.08.11 13:48
| 구분 | 기하위상 |
|---|---|
| 일정 | 2025-08-18(월) 14:00~17:00 |
| 세미나실 | 27동 116호 |
| 강연자 | |
| 담당교수 | 이계선 |
| 기타 |
This talk aims to understand properly convex projective manifolds obtained by deforming cusped hyperbolic manifolds; the ends of such objects are called generalized cusps. I will first explain what generalized cusps are and that they are determined by their "types" via the work of Ballas-Cooper-Leitner. Subsequently, I will exhibit examples of knot complements that can be deformed to properly convex manifolds with generalized cusps. Lastly, I will display some results of Ballas and Ballas-Danciger-Lee which altogether imply that a cusped hyperbolic 3-manifold satisfying a mild cohomological condition can be deformed to a properly convex projective one having generalized cusps of any desired types as its ends.