Exploring relations between knots invariants using Mapper algorithms

Speaker(s)

Davide Gurnari

Affiliation

IMPAN

Date

May 11, 2023, 10:15 a.m.

Information about the event

4070+Zoom: 940 8683 4998 Password - type the number equal to rk(H^2((S^1)^{200};Z))

Seminar

Seminar Algebraic Topology

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Mapper-type algorithms are useful tools for revealing the shape of high dimensional data and visualising functions over them. Moreover, new versions of such algorithms that incorporate the symmetries within the data provide ways to compare various descriptors. In this presentation, I will discuss how this tools, combined with machine learning techniques, can be used to explore the relations between different knot polynomials. This is joint work with Paweł Dłotko and Radmila Sazdanovic.

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