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UID:63d9150a37c6e2b9f2a0a484766666b8
CATEGORIES:Lie Group Quantum Mathematics Seminar
CREATED:20240307T123410
SUMMARY:Symmetric polynomials and interpolation polynomials
LOCATION:Computing Research & Education Building (CoRE)\, Room 433
DESCRIPTION:<p style="font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Cali
 bri, Helvetica, sans-serif; font-size: 12pt; color: #000000;">Symmetric pol
 ynomials, for example, Schur, Jack, and Macdonald polynomials, are classica
 l objects in the study of algebra, representation theory, and combinatorics
 . Interpolation polynomials are certain inhomogeneous versions of the class
 ical Jack and Macdonald polynomials. In this talk, I will first review some
  basics of symmetric polynomials, introduce the interpolation polynomials, 
 and discuss our recent work. As an application, I will talk about a charact
 erization of the containment partial order in terms of Schur positivity or 
 Jack positivity. This result parallels the works of Cuttler--Greene--Skande
 ra, Sra, and Khare--Tao, which characterize two other partial orders in ter
 ms of Schur positivity.</p><p style="font-family: Aptos, Aptos_EmbeddedFont
 , Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; col
 or: #000000;">This work is joint with my advisor, Prof. Siddhartha Sahi, an
 d available on arXiv:2403.02490.</p>
CONTACT:Hong Chen, Rutgers University
X-EXTRAINFO:(Note the special day, time and location.)
DTSTAMP:20260827T141944
DTSTART;TZID=America/New_York:20240403T114500
DTEND;TZID=America/New_York:20240403T124500
SEQUENCE:0
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