- 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 (bsagan@msu.edu)
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.
