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Algebra & Combinatorics Seminar

Title: Totally positive matrices, Polya frequency sequences, and Schur polynomials (Joint with APRG Seminar)
Speaker: Apoorva Khare (IISc Mathematics)
Date: 18 September 2020
Time: 3 pm
Venue: Microsoft Teams (online)

I will discuss totally positive/non-negative matrices and kernels, including Polya frequency (PF) functions and sequences. This includes examples, history, and basic results on total positivity, variation diminution, sign non-reversal, and generating functions of PF sequences (with some proofs). I will end with applications of total positivity to old and new phenomena involving Schur polynomials.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 18 Apr 2021