中央研究院數學研究所

Seminar in Representation Theory

A Correction to Springer's Trigonometric Sums

2025/09/17 (Wed.) 10:00~12:00

Date : 2025/09/17 (Wed.) 10:00~12:00
Location : Auditorium, 6 Floor, Institute of Mathematics (NTU Campus)
Speaker : Wei-Hsuan Hsin (NTU)
Abstract : In Section 3 of T.A. Springer’s 1976 paper Trigonometric Sums, Green Functions on Finite Groups and Representation of Weyl Groups, a reduction method is introduced for the trigonometric sum $S^G(A, A')$, bringing the computation to the nilpotent case. The formula obtained there is essentially correct, but the proof as written is not valid. In this talk, I will explain how Springer’s original insight can be carried out rigorously, by providing a revised proof that achieves the intended result.