A CORRECTION OF SPRINGER’S TRIGONOMETRIC SUMS

演講地點: 

天數 526

時間: 

2026-04-23 (星期四) 15:20 - 16:05

演講摘要: 

演講者:Mr. WEI-HSUAN HSIN 辛瑋軒 (Department of Mathematics, NTU)

講 題:A CORRECTION OF SPRINGER’S TRIGONOMETRIC SUMS

時 間:2026年4月23日 (星期四) 下午3:20-4:05

地 點:臺灣大學天數館526室

摘 要:

In Section 3 of T.A.Springer's paper, Trigonometric Sums, Green Functions on Finite Groups and Representation of Weyl Groups (1976), a method is proposed to reduce the computation of the trigonometric sum S^G (A,A^' ) to the case where A is nilpotent. Although the resulting formula is essentially correct, the proof contains several inaccuracies. The main purpose of this article is to follow the spirit of Springer's original argument while providing a revised proof that establishes the same result.

附件: