Thursday, November 12 2020
14:00 - 15:00

IMSc Webinar

Polya frequency sequences: analysis meets algebra

Apoorva Khare


Seminar link:
Meeting ID: 893 5344 7324, password: Littlewood.
Seminar website:

I will provide an introduction to the theory of Polya frequency (PF) sequences. The first half includes examples (including log-concave/unimodal sequences, Hilbert series) and classical results on generating functions of PF sequences (with some proofs, and one related Hypothesis). In the second half, I discuss connections from total positivity to old and new phenomena involving symmetric functions. (Partly joint with Terence Tao.)

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