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Math/Stat Colloquium

Friday, 28 February, 2020

The Math/Stat Colloquium will host a talk by Hannah Schreiber,of the Department of Computer Science on Friday, Feb. 28, from 4 to 5 p.m. in Room 242, Ritter Hall.  The talk is “Introduction to standard and non-standard Persistent Homology.”

Refreshments will be served at 3:30 p.m. in the lobby of Ritter Hall.

Talk Abstract

Persistent homology enables the analysis of evolving topological properties of general data sets through different scales. The standard case is persistent homology of filtrations, a sequence of nested complexes. The persistent homology is represented by a barcode consisting of the birth and death times of the different cycle classes evolving through the growing complex. The talk will aim to introduce those notions for filtrations, but also for more general inputs as towers and zigzag filtrations and give an overview of the current state of the art.