Convex projective deformations of cusped hyperbolic manifolds

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Convex projective deformations of cusped hyperbolic manifolds

황승훈 0 28
구분 기하위상
일정 2025-08-11(월) 14:00~16:30
세미나실 27동 116호
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담당교수 이계선
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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.

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