FB 6 Mathematik/Informatik

Institut für Mathematik


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WS 2018/19

23.01.2019 um 17:15 Uhr in 69/125:

Prof. Dr. Ulrich Bauer (Technische Universität München)

The Morse Theory of Čech and Delaunay Complexes

Given a finite set of points in ℝⁿ and a radius parameter, we consider the Čech, Delaunay–Čech, Delaunay
(alpha shape), and wrap complexes in the light of generalized discrete Morse theory. We prove that the four
complexes are simple-homotopy equivalent by a sequence of simplicial collapses, and the same is true
for their weighted versions. Our results have applications in topological data analysis and in the reconstruction
of shapes from sampled data.

30.01.2019 um 17:15 Uhr in 69/125:

Dr. Nick Vannieuwenhoven (Katholieke Universiteit Leuven)

Tensor Decompositions and their Sensitivity