Hodge theory and unitary representations of reductive Lie groups

Abstract

We present an application of Hodge theory towards the study of irreducible unitary representations of reductive Lie groups. We describe a conjecture about such representations and discuss some progress towards its proof.

References in corpus (1)

• Unitary spherical spectrum for split classical groups

Cited by in corpus (4)

• Laurent Polynomials, GKZ-hypergeometric Systems and Mixed Hodge Modules
• Star operations for affine Hecke algebras
• Equivariant deformation quantization and coadjoint orbit method
• Mixed Hodge modules and mixed twistor modules