Topology, Geometry and Data Seminar - Patrizio Frosini

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Patrizio Frosini
April 3, 2017
11:30AM - 12:30PM
Location
Cockins Hall 240

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Add to Calendar 2017-04-03 11:30:00 2017-04-03 12:30:00 Topology, Geometry and Data Seminar - Patrizio Frosini Title: Lecture 1: The phenomenon of monodromy in 2D persistent homology.Speaker: Patrizio Frosini (University of Bolohna)Abstract: It is well-known that 2D persistent Betti numbers can be described by a collection of 1D persistence diagrams, each of which corresponding to a planar line with positive slope. Moving a line along a loop in the space of all planar lines with positive slope produces a permutation in the persistence diagram computed at the starting line in the loop. In other words, we have a phenomenon of monodromy. In this lecture we will illustrate this phenomenon and its relevance for the study and application of 2D persistent homology.Seminar URL: http://www.tgda.osu.edu/mini-course-frosini.html Cockins Hall 240 Department of Mathematics math@osu.edu America/New_York public
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Title: Lecture 1: The phenomenon of monodromy in 2D persistent homology.

SpeakerPatrizio Frosini (University of Bolohna)

Abstract: It is well-known that 2D persistent Betti numbers can be described by a collection of 1D persistence diagrams, each of which corresponding to a planar line with positive slope. Moving a line along a loop in the space of all planar lines with positive slope produces a permutation in the persistence diagram computed at the starting line in the loop. In other words, we have a phenomenon of monodromy. In this lecture we will illustrate this phenomenon and its relevance for the study and application of 2D persistent homology.

Seminar URLhttp://www.tgda.osu.edu/mini-course-frosini.html

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