Jean-Morlet Chair - Doctoral school: Elliptic Methods and Moduli Spaces / Chaire Jean-Morlet - Ecole doctorale : Méthodes elliptiques et espaces de modules

Collection Jean-Morlet Chair - Doctoral school: Elliptic Methods and Moduli Spaces / Chaire Jean-Morlet - Ecole doctorale : Méthodes elliptiques et espaces de modules

Organizer(s) Cornea, Octav ; Frauenfelder, Urs ; Lalonde, François ; Viterbo, Claude ; Teleman, Andrei
Date(s) 21/09/2015 - 25/09/2015
linked URL https://www.chairejeanmorlet.com/1257.html
00:00:00 / 00:00:00
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Persistence modules and Hamiltonian diffeomorphisms - Part 1

By Leonid Polterovich

Theory of persistence modules is a rapidly developing field lying on the borderline between algebra, geometry and topology. It provides a very useful viewpoint at Morse theory, and at the same time is one of the cornerstones of topological data analysis. In the course I'll review foundations of this theory and focus on its applications to symplectic topology. In parts, the course is based on a recent work with Egor Shelukhin arXiv:1412.8277

Information about the video

Citation data

  • DOI 10.24350/CIRM.V.18839803
  • Cite this video Polterovich, Leonid (21/09/2015). Persistence modules and Hamiltonian diffeomorphisms - Part 1. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18839803
  • URL https://dx.doi.org/10.24350/CIRM.V.18839803

Bibliography

  • Polterovich, L., & Shelukhin, E. (2015). Autonomous Hamiltonian flows, Hofer's geometry and persistence modules. <arXiv:1412.8277> - http://arxiv.org/abs/1412.8277

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