报告人：王春林（四川师范大学）

时 间：2023年7月25日16:00

地 点：海韵园数理大楼686会议室

内容摘要:

In this paper, we study the Newton polygon of the $L$-function of a generalized Kloosterman polynomial with two variables over finite fields. We give the explicit form of the monomial basis of the top dimensional cohomology space of the p-adic complex associated to the L-function. One consequence of this result is a concrete method for computing the Hodge polygon. Using decomposition theorems of Wan, we determine when the generalized Kloosterman polynomial is ordinary and when its Newton polytope is generically ordinary.

个人简介：

王春林，博士毕业于四川大学数学学院，南开大学组合数学中心博士后，现任教于四川师范大学数学科学学院。主要研究方向为组合数论及p-adic分析，研究成果发表于Forum Mathematicum, Monatsh. Math., J. Number Theory, Int. J. Number Theory等国际数学期刊。

联系人：易少云