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CAGE: Philadelphia Area Combinatorics and Alg. Geometry Seminar

Thursday, March 31, 2022 - 3:30pm

Alessandro Iraci



University of Pennsylvania


Theta operators are a family of operators on symmetric functions that have been introduced in order to state a compositional version of the Delta conjecture, with the idea, later proved successful, that this would have led to a proof via the Carlsson-Mellit Dyck path algebra. Theta operators show remarkable combinatorial properties; we are going to show that some specific instances of these operators coincide with the Kac polynomial of certain dandelion quivers (counting torus orbits on certain varieties) and the Tutte polynomials of certain families of graphs. Finally, we formulate a more general conjecture extending these results, in terms of labelled tiered trees and kappa-inversions.