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SUMMARY:Hong Chen (Rutgers University)
DTSTART:20240514T083000Z
DTEND:20240514T093000Z
DTSTAMP:20260422T155518Z
UID:HKUST-AG/49
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HKUST-AG/49/
 ">Symmetric polynomials and interpolation polynomials</a>\nby Hong Chen (R
 utgers University) as part of Algebra and Geometry Seminar @ HKUST\n\nLect
 ure held in 4504.\n\nAbstract\nSymmetric polynomials---for example\, Schur
 \, Jack\, and Macdonald polynomials---are classical objects in the study o
 f algebra\, representation theory\, and combinatorics. Interpolation polyn
 omials are certain inhomogeneous versions of Jack and Macdonald polynomial
 s. In this talk\, after reviewing some basics on symmetric polynomials\, I
  will introduce interpolation polynomials and discuss our recent work on t
 heir properties. As an application\, I will give a characterization of the
  containment partial order in terms of Schur positivity or Jack positivity
 . This result parallels the works of Cuttler--Greene--Skandera\, Sra\, and
  Khare--Tao\, which characterize two other partial orders in terms of Schu
 r positivity. This work is joint with Siddhartha Sahi.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/49/
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