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UID:20260602T200423EDT-1545CkitRK@132.216.98.100
DTSTAMP:20260603T000423Z
DESCRIPTION:Title: A Murnaghan-Nakayama rule for the quantum Schubert polyn
 omials\n\nAbstract: Several linear algebra problems are very interesting i
 n the ring of symmetric polynomials. One of them is understanding combinat
 orially how to multiply polynomials from different bases and expand the re
 sulting symmetric polynomial in one of the bases. The classical Murnaghan–
 Nakayama rule is a formula for the product of a Schur symmetric polynomial
  and a Newton power sum. It is as fundamental as the Pieri rule\, and the 
 resulting formulas from the Murnaghan-Nakayama rule are significantly more
  compact. The Schubert polynomials are a very interesting generalization o
 f Schur polynomials due to their connection with the cohomology of the fla
 g variety in algebraic geometry. In this talk\, I will present a general r
 ule for multiplying a quantum Schubert polynomial by a quantum power sum p
 olynomial\, achieved by relating the structure constants to the classical 
 case. We will review the classical and quantum stories and discover the co
 mbinatorics behind each version. This project is joint work with Carolina 
 Benedetti\, Nantel Bergeron\, Franco Saliola\, and Frank Sottile.\n\nVenue
 \n\nUQAM\, PK-5115\, 201 Av. du Président-Kennedy\, Montréal\, QC H2X 3Y7
 \n
DTSTART:20230223T153000Z
DTEND:20230223T163000Z
SUMMARY:Laura Colmenarejo (North Carolina State University)
URL:/mathstat/channels/event/laura-colmenarejo-north-c
 arolina-state-university-346315
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