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Eigenfunctions Seminar

Title: Schoenberg: from metric geometry to matrix positivity
Speaker: Apoorva Khare (IISc Mathematics)
Date: 12 April 2019
Time: 3 pm
Venue: LH-1, Mathematics Department

I will present a historical account of some work of Schoenberg in metric geometry: from his metric space embeddings into Euclidean space and into spheres (Ann. of Math. 1935), to his characterization of positive definite functions on spheres (Duke Math. J. 1942). It turns out these results can be viewed alternately in terms of matrix positivity: from appearances of (conditionally) positive matrices in analysis, to the classification of entrywise positivity preservers in all dimensions.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 12 Apr 2024