数论与表示论讨论班:迟敬人 Geometry of affine Springer fibers and generalizations



时间:11月13日,周三,16:00-17:00
地点:东7报告厅
标题:Geometry of affine Springer fibers and generalizations
报告人:迟敬人 (中国科学院)
摘要:Affine Springer fibers are analogues of Springer fibers for the loop Lie algebras of reductive groups. They were first studied by Kazhdan and Lusztig and they have played important roles in various problems from geometric representation theory and automorphic representation theory. In this talk I will review the basic geometric properties of affine Springer fibers and report on recent work on some of their generalizations, including the group version and the mixed characteristic analogue.