Résumé: The Delta Conjectures (rise version and valley version) and their extension to square paths are important open problems in algebraic combinatorics. They give a combinatorial interpretation for certain instances of the Delta operator, which is a linear operator on the space of symmetric functions that acts diagonally on the basis of Macdonald polynomials. We give a presentation of the conjectures, show a factorisation for the combinatorial side of the valley version of the conjecture, and use it to prove that it implies the corresponding extension to square paths, building up on previous work by Haglund and Sergel.
- This event has passed.
16 October Friday
Alessandro Iraci (UQAM): Delta square conjectures
16 October 2020, 11:00 - 16 October 2020, 12:00
En ligne/online, Canada