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A Murnaghan-Nakayama rule for the quantum cohomology of the flag manifold

Algebra & Discrete Mathematics

Speaker: Laura Colmenarejo, Max Planck Institute for Mathematics in the Sciences in Leipzig
Location: 1147 MSB
Start time: Mon, Dec 3 2018, 11:00AM

The classical Murnaghan–Nakayama rule for the characters of the symmetric group is also a formula for the product of a Schur symmetric function and a Newton power sum. The Murnaghan-Nakayama rule is as fundamental as the Pieri rule. In fact, the resulting formulas from the Murnaghan-Nakayama rule are significantly more compact than those from the Pieri formula. In this talk, I will discuss some background, and then our work establishing a Murnaghan-Nakayama rule for quantum Schubert polynomials. (Joint work with Benedetti, Bergeron, Saliola, and Sottile.)