Manchester Algebra Seminar - Yusra Naqvi - Positivity of interpolation polynomials
|Starts:||13:00 20 Apr 2021|
|Ends:||14:00 20 Apr 2021|
|What is it:||Seminar|
|Organiser:||Department of Mathematics|
|Who is it for:||University staff, Current University students|
Speaker: Yusra Naqvi - UCL
Title: Positivity of interpolation polynomials
Abstract: Interpolation polynomials are a family of inhomogeneous symmetric polynomials characterized by simple vanishing properties whose top degree homogeneous components are Jack polynomials. In 1996, Knop and Sahi conjectured that, after a suitable normalisation, these polynomials have positive integral coefficients. In this talk I will describe our recent proof of this conjecture, which includes a new combinatorial expansion for the interpolation polynomials.
This is joint work with S. Sahi and E. Sergel.
Travel and Contact Information
Zoom - online
Alan Turing Building