Séminaire Orléans

Spectra of elliptic intrinsic differential operators

par Lasse Wolff (IHES)

→ Europe/Paris
Salle de Séminaire (Orléans)

Salle de Séminaire

Orléans

Description

On locally symmetric spaces the bottom of the Laplace spectrum can be described by the critical exponent of the fundamental group. This is due to Corlette in rank one and to Anker-Zhang in higher rank. In this talk, I will recall this relation and outline a generalization for all elliptic differential operators descending from invariant differential operators of the universal cover.