[geometry-ml:06896] 名古屋大学幾何学セミナー

[kasuya ＠ math.nagoya-u.ac.jp]

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糟谷

2026/6/25	16:30～18:00　多元数理科学棟　307セミナー室
講演者：Constantin Vernicos (Montpellier University)
タイトル：On the asymptotic volume of convex bodies
要旨
In an open convex body one can define various geometries. One is 
associated to convex projective structures on compact manifolds and is 
known as Hilbert geometry. Even though curvature as we know it in 
Riemannian geometry is not really available for this structure, 
nevertheless these geometries share a lot with the universal covers of 
strictly negative compact manifolds.In this talk I would like to present 
my answer to a generalisation of a famous result in this latest case 
relating the volume entropy with the Hausdorff dimension of the Gromov 
Boundary. This work involves many years and involves my collaborators 
among which are Berck, Bernig, Faifman, Verovic and Walsh.