ICTS:31224

Video URL

The boundary data on convex domains in hyperbolic manifolds

The boundary data on convex domains in hyperbolic manifolds

(2025). The boundary data on convex domains in hyperbolic manifolds. SciVideos. https://youtube.com/live/k9SP2bljJK0

The boundary data on convex domains in hyperbolic manifolds. SciVideos, Mar. 05, 2025, https://youtube.com/live/k9SP2bljJK0 

          @misc{ scivideos_ICTS:31224,
            doi = {},
            url = {https://youtube.com/live/k9SP2bljJK0},
            author = {},
            keywords = {},
            language = {en},
            title = {The boundary data on convex domains in hyperbolic manifolds},
            publisher = {},
            year = {2025},
            month = {mar},
            note = {ICTS:31224 see, \url{https://scivideos.org/index.php/icts-tifr/31224}}
          }
Jean-Marc Schlenker
Talk numberICTS:31224
Source RepositoryICTS-TIFR
Collection

Abstract

A hyperbolic quasifuchsian (or more generally convex co-compact) manifold $M$ contains a smallest non-empty geodesically convex subset, its convex core. The boundary of this convex core has a hyperbolic induced metric, and is pleated along a measured geodesic lamination. Thurston asked whether the induced metric, or the the measured pleating lamination, uniquely determine $M$. In the first part, we will explain why the answer is positive for the measured pleating lamination (joint w/ Bruno Dular). In the second part, we will put this problem in a more general frramework concerning the boundary data of convex subsets in hyperbolic manifolds or in hyperbolic space.