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Talk

Interior curvature estimates and the asymptotic plateau problem in hyperbolic space

  • Ling Xiao (John Hopkins University, Baltimore)
A3 01 (Sophus-Lie room)

Abstract

In this talk, we will begin with definitions of hyperbolic space and De Sitter space. After giving some known results for constant curvature hypersurfaces in hyperbolic space and constant curvature spacelike hypersurfaces in De Sitter space, we will show a strong duality theorem of hyperbolic space and De Sitter space. Finally we will show some applications for this duality theorem. This is a joint work with Bo Guan and Joel Spruck.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of This Seminar

  • Mar 11, 2024 tba with Carlos Román Parra
  • Mar 15, 2024 tba with Esther Bou Dagher
  • Mar 27, 2024 tba with Christian Wagner
  • May 21, 2024 tba with Immanuel Zachhuber