Number Theory Seminar

Seminar information archive ~03/20Next seminarFuture seminars 03/21~

Date, time & place Wednesday 17:00 - 18:00 Room #056 (Graduate School of Math. Sci. Bldg.)
Organizer(s) Naoki Imai, Yoichi Mieda

Next seminar

2019/04/10

17:30-18:30   Room #056 (Graduate School of Math. Sci. Bldg.)
Zongbin Chen (Yau Mathematical Sciences Center, Tsinghua University)
The geometry of the affine Springer fibers and Arthur's weighted orbital integrals (English)
[ 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.