Persistence in Data, Cosheaves, and K-Theory

Document Type

Presentation Abstract

Presentation Date

11-15-2021

Abstract

TDA is a family of techniques which uses topological structures to analyze data. I'll begin by introducing some aspects of TDA; in particular, I'll discuss persistence modules. Next, I'll describe a reformulation of persistence in terms of cosheaves on a stratification of parameter spaces. Finally, I'll indicate the utility of the aforementioned translation by computing persistent invariants via cosheaves, e.g., in terms of algebraic K-theory.

Additional Details

November 15, 2021 at 3:00 p.m. in Math 305

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