Rational shuffle conjectures

Data Seminario: 
Ora Inizio: 
Ora Fine: 
Alessandro Iraci
Université du Quebéc à Montreal

Il seminario si svolgerà in forma mista, online al link https://meet.google.com/tsn-jsor-gss e in Aula Magna del Dipartimento di Matematica.

Abstract: The rational shuffle theorem is a generalisation of the shuffle theorem (a famous problem in algebraic combinatorics that has been open for more than 10 years) to (m,n)-Dyck paths, which has been proved by Anton Mellit in 2016. In this talk, we will give an overview about this problem, then we will state a few new conjectures that generalise the result in the same fashion as the square paths theorem and the Delta theorem generalise the original shuffle theorem. Finally, we will give a few possible approaches on how to attack these new problems.