Department of Mathematics

Combinatorics and Graph Theory

  •  Frank Sottile, Texas A and M Univeristy
  •  CANCELLED: A Murnaghan-Nakayama formula in quantum Schubert calculus
  •  02/15/2023
  •  3:00 PM - 3:50 PM
  •  C517 Wells Hall
  •  Bruce E Sagan (

The Murnaghan-Nakayama formula expresses the product of a Schur function with a Newton power sum in the basis of Schur functions. An important generalization of Schur functions are Schubert polynomials (both classical and quantum). For these, a Murnaghan-Nakayama formula is geometrically meaningful. In previous work with Morrison, we established a Murnaghan-Nakayama formula for Schubert polynomials and conjectured a quantum version. In this talk, I will discuss some background and then some recent work proving this quantum conjecture. This is joint work with Benedetti, Bergeron, Colmenarejo, and Saliola.



Department of Mathematics
Michigan State University
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C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
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College of Natural Science