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 |
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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.
Time: 1pm
Place: Zoom
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Zoom - online
Alan Turing Building
Manchester