Lecture----数学院晨兴数学中心

Title:	Twist formula for the epsilon factor of a constructible etale sheaf
Speaker:	阳恩林 (德国Regensburg大学)
Time:	2017-2-27, 10:00—11:00
Place:	南楼913
Abstract:	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.
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