中科院数学与系统科学研究院
数学研究所
学术报告会
报告人：阳恩林 (德国Regensburg大学)
题 目：Twist formula for the epsilon factor of a constructible etale sheaf
时 间：2017.02.27（星期一），10:00-11 :00
地 点：数学院南楼N913室
摘 要：Recently, the singular support and the characteristic cycle of a constructible sheaf on a smooth variety over an arbitrary perfect field are constructed by Beilinson and Saito respectively. Based on their theory, we proved a twist formula for the epsilon factor of a constructible sheaf on a projective smooth variety over a finite field in terms of characteristic class of the sheaf. This formula was conjectured by Kato and Saito in 2004. As a corollary of our formula, we showed that the two Swan classes in the literature are the same on proper smooth surfaces over a finite field. This is a joint work with Naoya Umezaki and Yigeng Zhao.
