Topological persistence in geometry and analysis

Topological persistence in geometry and analysis

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Leonid Polterovich, Tel Aviv University

Zoom link: 

https://princeton.zoom.us/j/99892230441

Password:

(The colloquium password will be distributed to Princeton University and IAS members. We ask that you do not share this password. If you would like to be included in the colloquium and are not a member of either institution, please email the organizer Casey Kelleher (caseyk@princeton.edu) with an email requesting to participate which introduces yourself, your current affiliation and stage in your career.)

 

The theory of persistence barcodes is an emerging field of algebraic topology which ‎originated in data analysis. I will discuss its applications to function theory, where it provides a new insight on ‎oscillation of functions, and to symplectic topology.