Séminaire MODAL'X : Quentin François (Ceremade/DMA)

Publié le 11 décembre 2024 Mis à jour le 20 janvier 2025

A positive formula for the product of conjugacy classes on the unitary group

Date(s)

le 23 janvier 2025

13h30-14h30
Lieu(x)

Bâtiment Maurice Allais (G)

Entresol, salle Modal'X (E-27)
Plan d'accès
Résumé : We describe with a probabilistic viewpoint the convolution product of two conjugacy classes of the unitary group ��(��). The description is given in terms of a probability distribution on the space of central measures which admits a density. Relating the convolution to the quantum Littlewood-Richardson coefficients and using recent results describing those coefficients, we give a positive formula for this density. In the same flavor as the hive model of Knutson and Tao, this formula is given in terms of a subtraction-free sum of volumes of explicit polytopes.

Mis à jour le 20 janvier 2025