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VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
X-WR-CALNAME:RTG Combinatorics Seminar: A combinatorial formula for interpo
 lation Macdonald polynomials
X-WR-TIMEZONE:Pacific Time (US & Canada)
BEGIN:VEVENT
DTSTAMP:20260819T233703Z
UID:tag:localist.com\,2008:EventInstance_52561740034089
DTSTART:20260413T200000Z
DTEND:20260413T210000Z
DESCRIPTION:Lauren Williams\, Harvard University \n\n\nTitle: A combinatori
 al formula for interpolation Macdonald polynomials\n\n\nAbstract: In 1996\
 , Knop and Sahi introduced a remarkable family of inhomogeneous symmetric 
 polynomials called interpolation Macdonald polynomials\, which are defined
  via vanishing conditions.  The top homogeneous parts of interpolation Mac
 donald polynomials are exactly the Macdonald polynomials\, themselves a fa
 mous family of polynomials which are connected to the Hilbert scheme and k
 not invariants.  The Macdonald polynomials admit several combinatorial for
 mulas\, the first being the 2004 tableaux formula of Haglund-Haiman-Loehr.
   Later\, in 2018\, Corteel and Mandelshtam and I gave a combinatorial for
 mula for Macdonald polynomials in terms of multiline queues.  In very rece
 nt work with Houcine Ben Dali\, we give the first combinatorial formula fo
 r interpolation Macdonald polynomials\; our formula is in terms of signed 
 multiline queues\, and generalizes the multiline queue formula for Macdona
 ld polynomials.  We also give a tableaux formula.
GEO:34.022409;-118.291027
LOCATION:Kaprielian Hall (KAP)\, 265
SUMMARY:RTG Combinatorics Seminar: A combinatorial formula for interpolatio
 n Macdonald polynomials
URL;VALUE=URI:https://calendar.usc.edu/event/rtg-combinatorics-seminar-a-co
 mbinatorial-formula-for-interpolation-macdonald-polynomials
CATEGORIES:Lecture / Talk / Workshop
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