Hugo Parlier (Luxembourg) - Simple closed geodesics, hyperbolic surfaces and moduli spaces
Опубликовано: 29 Июль 2026
на канале: 2017-2018 Warwick EPSRC Symposium on Geometry, Topology and Dynamics in Low Dimensions
на канале: 2017-2018 Warwick EPSRC Symposium on Geometry, Topology and Dynamics in Low Dimensions
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7
Graphs, surfaces, and cube complexes
11 July 2018
Abstract: Simple closed geodesics on hyperbolic surfaces are related to different aspects of geometric and dynamical properties of moduli spaces and are known to have many remarkable properties. Among these is a result of Birman and Series which states that they form a nowhere dense subset on any closed hyperbolic surface. A particular focus point of the talk will be on joint work with Peter Buser on how to quantify this non-density.