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UID:88499086eb3d8def5f11af3973cb4177
CATEGORIES:Algebra Seminar
CREATED:20251114T162642
SUMMARY:A combinatorial formula for interpolation Macdonald polynomials
LOCATION:Hill 705
DESCRIPTION:\nIn 1996, Knop and Sahi introduced a remarkable family of inhomogeneous sy
 mmetric polynomials, defined via vanishing conditions, whose top homogeneou
 s parts are exactly the Macdonald polynomials. Like the Macdonald polynomia
 ls, these interpolation Macdonald polynomials are closely connected to the 
 Hecke algebra, and admit nonsymmetric versions, which generalize the nonsym
 metric Macdonald polynomials. In joint work with Houcine Ben Dali, we give 
 a combinatorial formula for interpolation Macdonald polynomials in terms of
  signed multiline queues; this formula generalizes the combinatorial formul
 a for Macdonald polynomials in terms of multiline queues given by Corteel--
 Mandelshtam--Williams. We also give a tableaux formula.\n
X-ALT-DESC;FMTTYPE=text/html:<p><br>In 1996, Knop and Sahi introduced a remarkable family of inhomogeneo
 us symmetric polynomials, defined via vanishing conditions, whose top homog
 eneous parts are exactly the Macdonald polynomials. Like the Macdonald poly
 nomials, these interpolation Macdonald polynomials are closely connected to
  the Hecke algebra, and admit nonsymmetric versions, which generalize the n
 onsymmetric Macdonald polynomials. In joint work with Houcine Ben Dali, we 
 give a combinatorial formula for interpolation Macdonald polynomials in ter
 ms of signed multiline queues; this formula generalizes the combinatorial f
 ormula for Macdonald polynomials in terms of multiline queues given by Cort
 eel--Mandelshtam--Williams. We also give a tableaux formula.</p>
CONTACT:Lauren Williams, Harvard University
DTSTAMP:20260827T115847
DTSTART;TZID=America/New_York:20251119T140000
DTEND;TZID=America/New_York:20251119T150000
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