Séminaire de Géométrie Arithmétique Paris-Pékin-Tokyo

The Geometry of the Affine Springer Fibers and Arthur's Weighted Orbital Integrals

by Zongbin Chen (Yau Mathematical Sciences Center, Tsinghua University)

Centre de conférences Marilyn et James Simons (IHES)

Centre de conférences Marilyn et James Simons


Le Bois Marie 35, route de Chartres 91440 Bures-sur-Yvette

The affine Springer fibers are geometric objects conceived for the study of orbital integrals. They have complicated geometric structures. We will explain our work on the geometry of affine Springer fibers, with emphasize on the construction of a fundamental domain, and show how the study of the affine Springer fibers can be reduced to that of its fundamental domain. As an application, we will explain how to calculate Arthur's weighted orbital integrals via counting points on the fundamental domain.

Organized by

Ahmed Abbes