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SUMMARY:ICTP Associates Seminars: The History of Majorization Inequalities
  - from Newton to Macdonald
DTSTART;VALUE=DATE-TIME:20260521T090000Z
DTEND;VALUE=DATE-TIME:20260521T100000Z
DTSTAMP;VALUE=DATE-TIME:20260610T135658Z
UID:indico-event-11358@ictp.it
DESCRIPTION:In this first edition of the ICTP Associates Seminars\, Apoorv
 a Khare from Indian Institute of Science will discuss Majorization Inequal
 ities.\nZoom registration: https://zoom.us/meeting/register/Xv13idM5SOaBdA
 fQTLtr1A#/registration\nAbstract: I would gently introduce inequalities co
 nnecting symmetric polynomials and majorization. These have been studied b
 y Maclaurin and Newton (1700s)\, Schlomilch (1800s)\, Gantmacher\, Muirhea
 d\, Schur (1900s)\, and in ancient Greece. I will then mention (perhaps th
 e first) weak majorization result\, shown in joint work with Tao (2021). T
 his involves Schur polynomials\, and parallels results by Cuttler–Greene
 –Skandera and Sra (2010s). Time permitting\, I will explain recent work 
 with Chen and Sahi\, where we subsume several of these inequalities by a "
 master" majorization inequality: using Jack or Macdonald polynomials. This
  is conjectural\, and we prove it for 2 variables.\nThese seminars are a w
 ay of sharing the work and experiences of ICTP Associates. The seminars ha
 ve a personal part and a scientific part. The speaker will talk a bit on h
 is/her personal trajectory first\, and then later gently introduce a resea
 rch theme of his/her choice.\n\n//indico.ictp.it/event/11358/
LOCATION:ICTP and online Stasi Lecture Hall
URL://indico.ictp.it/event/11358/
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