中科院数学与系统科学研究院

数学研究所

数论研讨班

报告人： Zongbin Chen（Tsinghua University）

题  目：The geometry of the affine Springer fibers and Arthur's weighted orbital integrals

时  间：2019.04.10（星期三），16:30-17:30

地  点：晨兴楼110室

摘  要：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.