主持人：陈苗芬 副教授
时间：2020年12月1日（周二） 10：00-11：00
地点：腾讯会议号：681 239 734 会议密码：314159
报告摘要: The notion of affine Springer fiber was introduced by Kazhdan
and Lusztig in 1988. It plays a crucial role in the geometric
representation theory and the Langlands program. The generalized affine
Springer fibers were first studied by Kottwitz and Viehmann for the
hyperspecial level structure in 2012 and by Lusztig for arbitrary
parahoric level structure in 2015. Many geometric properties for the
hyperspecial level structure were further studied by Bouthier and Chi.
In this talk, I will propose a new approach to study the generalized
affine Springer fibers. The key observation is that the affine
Deligne-Lusztig varieties, in some sense, may be regarded as the
``shadow'' of generalized affine Springer fibers. I will also explain
some ingredients used to deduce some geometric properties (nonemptiness,
dimension, irreducible components) of generalized affine Springer fibers
from the properties of the affine Deligne-Lusztig varieties. This talk
is based a work in progress.
