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Online Seminar on the Interactions between Statistics and Geometry
Speaker: Pr Eugene Stepanov (PDMI RAS, Universita di Pisa, HSE University)
Title: Eigenvalues and eigenvectors of squared distance matrices and geometry of metric measure spaces
Abstract: We will discuss what the spectral data of matrices of squared distances between points from very large subsets (covering densely the space in the limit) of a metric measure space say about the geometry of the latter. In particular, we will discuss how the metric measure space can be reconstructed from such data.
Date: Friday, January 19
Time: 11am CET (5am EST, 7pm JST, 1pm MSK)
Zoom Link: https://us06web.zoom.us/j/2789300692?pwd=ZVAzeXRIZUREcEdlYWVPR1F5ejZOQT09
Organizers: Victor-Emmanuel Brunel, Austin Stromme, Alexey Kroshnin, Quentin Paris