On the dimension formula of Vaughan Jones for some representations of PSL(2,Z) and automorphic forms (Florin Radulescu, Université Tor Vergata, Rome)

05.04.2022 10:30

The formula of Vaughan Jones computes the von Neumann dimension of the restriction to a lattice of a discrete series unitary representation of a semisimple Lie group.
It is a variant of a formula of Atiyah and Schmid for the formal dimensions of the discrete series in the Harish-Chandra trace formula.
When the Lie group is PSL(2,R) and the lattice PSL(2,Z), the formula is surprisingly similar to a formula for the dimension of some space of automorphic forms.
We will discuss an extension of this to the case of PSL(2,Qp).

Lieu

Bâtiment: Conseil Général 7-9

Room 1-05, Tuesday 05.04.2022, Séminaire "Groupes et géométrie"

entrée libre