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SUMMARY:Apoorva Khare (Indian Institute of Science\, India)
DTSTART:20201125T120000Z
DTEND:20201125T130000Z
DTSTAMP:20260423T035938Z
UID:FAOT/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FAOT/2/">Ent
 rywise positivity preservers in fixed dimension: II</a>\nby Apoorva Khare 
 (Indian Institute of Science\, India) as part of Functional Analysis and O
 perator Theory Webinar\n\n\nAbstract\nThe second talk in this series will 
 (after a quick introduction) focus on how to\nresolve the outstanding ques
 tions from the first talk\, using additional tools from symmetric function
  theory and type A representation theory. These tools help extend prior\nr
 esults from entrywise polynomial preservers to finite and infinite sums of
  real powers\,\nacting on positive matrices with positive entries. We conc
 lude with a novel characterization of weak majorization of real tuples\, v
 ia Schur polynomials and Vandermonde\ndeterminants\, and use it to strengt
 hen and extend the Cuttler–Greene–Skandera/Sra\ncharacterization of ma
 jorization to all real tuples.\n\n(Based on two papers: with Alexander Bel
 ton\, Dominique Guillot\, and Mihai Putinar\, Adv. Math. 2016\; and with T
 erence Tao\, Amer. J. Math.\, in press.)\n
LOCATION:https://researchseminars.org/talk/FAOT/2/
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