Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series MATH-IHES
Subjects math
Date Wednesday 10 April 2019
Time 10:30
Institute IHES
Seminar Room Centre de conférences Marilyn et James Simons
Speaker's Last Name Chen
Speaker's First Name Zongbin
Speaker's Email Address
Speaker's Institution Yau Mathematical Sciences Center, Tsinghua University
Title The Geometry of the Affine Springer Fibers and Arthur's Weighted Orbital Integrals
Abstract 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.
arXiv Preprint Number
Comments Séminaire de Géométrie Arithmétique Paris-Pékin-Tokyo
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