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GeomTop Seminar: [30 min incl Q&A] Triangulating submanifolds: An elementary and quantified version of WhitneyÂ’s method

Date: Wednesday, June 19, 2019 13:30 - 14:45
Speaker: Mathijs WINTRAECKEN
Location: Mondi Seminar Room 3, Central Building
Series: Mathematics and CS Seminar
Host: Herbert Edelsbrunner
Contact: WAGNER Hubert

Abstract:

The first insightful geometric and constructive proof of the existence of a triangulation of any smooth manifold was given by Hassler Whitney. We quantize Whitneys construction (in terms of the reach of the manifold) to prove the existence of a triangulation for any $C2$ manifold,so that we get an algorithm with explicit bounds. We also give a new elementary proof, which is completely geometric.

Joint work with Jean-Daniel Boissonnat and Siargey Kachanovich.
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