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From one to two parameters

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Botnan, Magnus Bakke

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From one to two parameters
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19
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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It is widely known that persistent homology in more than one parameter is significantly more "complicated" than in the single-parameter setting. In this talk I will discuss in what sense it is more complicated from the point of view of representation theory, and from the point of view of algorithms. I will also give examples of how multi-parameter persistence modules naturally appear in applications.