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TGDA Mini-Course - Amit Patel - Lecture III

Amit Patel
February 7, 2019
1:50 pm - 2:50 pm
Cockins Hall 240

Title: Lecture III: Smoothing Operator

Speaker: Amit Patel (Colorado State University)

Abstract: de Silva, Munch, and I introduced a smoothing operator on Reeb graphs that behaves very nicely with respect to the interleaving distance. A Reeb graph can be interpreted as a constructible cosheaf over the real line valued in Set. This smoothing operator relies heavily on the fact that $\mathbb{R}$ is contractible. I will introduce a smoothing operator for (co)sheaves that are constructible with respect to any Thom-Mather stratified space. This construction is key to proving the stability of persistent local systems.

  1. MacPherson, Patel. Persistent Local Systems. 

Seminar URL: https://tgda.osu.edu/

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Seminar - Topology, Geometry and Data