Algebra and Combinatorics Seminar

Date: November 18, 2022

Time: 3:00PM - 3:50PM

Location: BLOC 302

Speaker: Frank Sottile, TAMU

Title: A Murnaghan-Nakayama formula in quantum Schubert calculus

Abstract: The Murnaghan-Nakayama formula expresses the product of a Schur function with a Newton power sum in the basis of Schur functions. In geometry, a Murnaghan-Nakayama formula computes the intersection of Schubert cycles with tautological classes coming from the Chern character. In previous work with Morrison, we establshed a Murnaghan-Nakayama formula in the cohomology of a flag variety and conjectured a version for the quantum cohomology ring of the flag variety. In this talk, I will discuss some background, and then some recent work proving this conjecture. This is joint work with Benedetti, Bergeron, Colmenarejo, and Saliola.