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SUMMARY:Apoorva Khare (IISc.\, Bangalore)
DTSTART:20200924T103000Z
DTEND:20200924T113000Z
DTSTAMP:20260423T022925Z
UID:SF-and-nt/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SF-and-nt/8/
 ">Totally positive matrices\, Polya frequency sequences\, and Schur polyno
 mials</a>\nby Apoorva Khare (IISc.\, Bangalore) as part of Special Functio
 ns and Number Theory seminar\n\n\nAbstract\nI will discuss totally positiv
 e/non-negative matrices and kernels\, including Polya frequency (PF) funct
 ions and sequences. This includes examples\, history\, and basic results o
 n total positivity\, variation diminution\, sign non-reversal\, and genera
 ting functions of PF sequences (with some proofs). I will end with applica
 tions of total positivity to old and new phenomena involving Schur polynom
 ials.\n
LOCATION:https://researchseminars.org/talk/SF-and-nt/8/
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