GeomTop Seminar: Triangulating manifolds: An overview with a focus on Riemannian simplices
Date
Wednesday, May 8, 2019 13:00 - 14:15
Speaker
Mathijs Wintraecken
Location
Mondi Seminar Room 3, Central Building
Series
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Herbert Edelsbrunner
Contact
Defining a simplex on a Riemannian manifold is not straightforward, the convex hull for example is not useful, in all but a few very special cases. In this talk we'll see the construction of Riemannian n-simplices on n-manifolds and conditions for them being homeomorphic to the standard Euclidean n-simplex (which we'll call non-degeneracy conditions). We'll discuss the tools that are used in this definition and non-degeneracy conditions, such as the Toponogov comparison theorem and Riemannian centres of mass.