Associates Seminar Series

[Infopoint]

Dear ICTP Community,

We are pleased to inform you that the ICTP Associates Office and the 
ICTP Global Science Portal are launching the "Associates Seminar Series" 
this coming May 21. These will be colloquium-style talks given by our 
Associates, aimed to the broad ICTP community.

These talks will be slightly different than usual, having a personal 
part and a scientific part. The speaker will talk a bit on his/her 
personal trajectory first, and then later gently introduce a research 
theme of his/her choice. The ICTP community will have the chance to get 
to know a bit more our Associates, both personally and professionally.

This is a particularly interesting opportunity for our students (Diploma 
and Ph.D.), and post-docs. The talks will be streamed online via the 
ICTP Global Portal. More details will follow over the next days.

Our first speaker will be Prof. Apoorva Khare (MATH, from India) on *May 
21 at 11am in the Stasi Seminar Room.*

I am looking forward to seeing many of you there (and online).

With kind regards,

Emanuel Carneiro,

Head, Associates Office

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*Speaker:* Apoorva Khare (Indian Institute of Science)

*Title:* The history of majorization inequalities: from Newton to Macdonald

*Abstract: *I will gently introduce inequalities connecting symmetric 
polynomials and majorization. These have been studied by Maclaurin and 
Newton (1700s), Schlomilch (1800s), Gantmacher, Muirhead, Schur (1900s), 
and in ancient Greece. I will then mention (perhaps the first) weak 
majorization result, shown in joint work with Tao (2021). This 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.


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