Seminario del 2017

Gennaio
26
2017
Ulrich Bauer, Technische Universität München
Persistence is (not) Morse Theory
algebra e geometria
I will survey the relationship between Morse theory and persistent homology from different aspects: historical connections, discrete Morse theory of geometric filtrations, simplification by Morse cancelation of persistence pairs, algebraic Morse theory, and persistence computation. I will illustrate how the conceptual differences between persistence and Morse theory provide complementary viewpoints, and how an understanding of their interplay can lead to drastic improvements in computational methods.
organizzato da: Massimo Ferri

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