Topological persistence in geometry and analysis
Topological persistence in geometry and analysis
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Leonid Polterovich, Tel Aviv University
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(The colloquium password听will be distributed to Princeton University and IAS members. We ask that you听do not share this password. If you would like to be included in the colloquium听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.)
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The theory of persistence barcodes is an emerging field of algebraic topology which 鈥巓riginated in data analysis. I will discuss its applications to function theory, where it provides a new insight on 鈥巓scillation of functions, and to symplectic topology.
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