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SUMMARY:Apoorva Khare (IISc Bangalore)
DTSTART:20210303T113000Z
DTEND:20210303T130000Z
DTSTAMP:20260423T035818Z
UID:WOTOA/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WOTOA/19/">T
 otal positivity: history\, basics\, and modern connections</a>\nby Apoorva
  Khare (IISc Bangalore) as part of Webinars on Operator Theory and Operato
 r Algebras\n\n\nAbstract\nI will give a gentle introduction to totally pos
 itive matrices and Polya frequency functions. This includes basic examples
 \, history\, and fundamental results on total positivity\, variation dimin
 ution\, and sign non-reversal – as well as a few proofs to show how the 
 main ingredients fit together. Many classical results (and one Hypothesis)
  from before 1955 feature in this journey. I will end by describing how Po
 lya frequency functions connect to the Laguerre–Polya class and hence Po
 lya–Schur multipliers\, and mention 21st century incarnations of the lat
 ter.\n
LOCATION:https://researchseminars.org/talk/WOTOA/19/
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