Speaker: Thomas Gerber (Lyon)
Title: Cores and Diophantine Equations
Abstract:
The study of cores, those integer partitions with no hooks of a given size, has revealed over the years remarkable connections between representation theory, enumerative combinatorics, and number theory. In this talk, I will present a link between core partitions and certain Diophantine equations, whose solution set will be endowed with an appropriate group action. This is joint work with Olivier Brunat and Nathan Chapelier-Laget.