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题目： Bessel F-isocrystals for reductive groups

报告人: 许大昕 副研究员

（中科院晨兴数学中心）

Abstract: I will first review the relationship between the Kloosterman sums and the classical Bessel differential equation. Recently, there are two generalizations of this story (corresponding to GL_2-case) for arbitrary reductive groups using ideas from the geometric Langlands program, due to Frenkel-Gross and Heinloth-Ngô-Yun. I will discuss my joint work with Xinwen Zhu where we unify previous two constructions from the p-adic aspect and identify the exponential sums associated to different groups as conjectured by Heinloth-Ngô-Yun. If time permits, I will also talk about my recent joint work with Masoud Kamgarpour and Lingfei Yi on the generalization of the above story to hypergeometric sheaves.

时间：3月18日（周五）下午13:30-14:30

地点：首都师范大学本部教二楼 713 教室

联系人：方江学

欢迎全体师生积极参加！