| Abstract | I will first review the relationship between the classical Bessel equation and the classical Kloosterman sum Such a relation can be regarded as an instance of the geometric Langlands correspondence for GL2. I will survey the recent generalizations of this story for arbitrary reductive groups, based on the works by Frenkel-Gross, Heinloth-Ng?-Yun, and X. Zhu. In the end, I will report the joint work in progress with X. Zhu, where we study the p-adic aspect of this theory. |
