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许大昕——Bessel equations, hypergeometric sums and geometric Langlands correspondence
发布人:许全华  发布时间:2022-07-27   浏览次数:367

题目:Bessel equations, hypergeometric sums and geometric Langlands correspondence


报告人:许大昕(中国科学院数学与系统科学研究院)


时间:2022年8月8日(星期一),14:00-15:30


地点:理学楼 901


摘要: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. 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.