Top-level heading

Atomic length on Weyl groups

Categoria
Altro (categoria non censita)
Categoria non censita
Algebra and Representation Theory Seminar (ARTS)
Data e ora inizio evento
Data e ora fine evento
Aula
Altro (Aula esterna al Dipartimento)
Sede

Dipartimento di Matematica, U Roma Tor Vergata

Aula esterna
Aula Dal Passo
Speaker
Thomas Gerber (U Lyon)
In this talk, I will introduce a new statistic on Weyl groups called the atomic length, and clarify this terminology by drawing parallels with the usual Coxeter length. It turns out that the atomic length has a natural Lie-theoretic interpretation, based on crystal combinatorics, that I will present. Last but not least, I will explain how this can be used as a tool for tackling a broad range of enumeration problems arising from modular representation theory (and related to the study of core partitions).