TGDA Mini-Course - Amit Patel - Lecture III

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

Date Range
Add to Calendar 2019-02-07 13:50:00 2019-02-07 14:50:00 TGDA Mini-Course - Amit Patel - Lecture III 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. MacPherson, Patel. Persistent Local Systems.  Seminar URL: https://tgda.osu.edu/ Cockins Hall 240 Department of Mathematics math@osu.edu America/New_York public
Description

Title: Lecture III: Smoothing Operator

SpeakerAmit 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 URLhttps://tgda.osu.edu/

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