中科院数学与系统科学研究院
数学研究所
表示论研讨班
报告人： 苏长剑 博士（IHES）
题 目：On a conjecture of Bump-Nakasuji -Naruse about the Casselman basis
时 间：2018.08.13（星期一），10:00-11:00
地 点：数学院南楼N913室
摘 要：Let G be a split p-adic reductive group. In the Iwahori invariants of a unramified principal series representation of G, there are two bases. One of them is the Casselman basis, which played an important role in the proof of the Casselman--Shalika formula. In this talk, I will prove a conjecture of Bump, Nakasuji and Naruse about the transition matrix between these two bases. The idea is to transform the problem into the Langlands dual side, and use motivic Chern classes introduced by Brasselet-Schurmann-Yokura and the K-theoretic stable envelope for the dual Springer resolution introduced by Maulik and Okounkov. This is based on joint work with Aluffi, Mihalcea and Schurmann.
