Igusa zeta integral and extension of invariant distributions of p-adic groups

浙江大学数学科学学院九十周年院庆系列活动之五十九

Title: Igusa zeta integral and extension of invariant distributions of p-adic groups

Speaker: Prof. Jiuzu Hong (University of North Carolina at Chapel Hill)

Time: 10:00-12:00am, Aug.2

Location:Room 200-9,Sir Shaw Run Run Business Administration building,School of Mathematical Sciences, Yuquan Campus

Abstract:Generalized semi-invariant distributions are introduced by Binyong Sun and myself in order to study the extension of invariant distributions of p-adic groups.  Laurent series of Igusa zeta integral of a semi-invariant polynomial over a p-adic field are naturally generalized semi-invariant distributions. In this talk  I will relate generalized semi-invariantdistributions, residues and Igusa zeta integrals, and 1-cocycles class in Ext group of p-adic groups.  This talk is based on a joint work with Binyong Sun, a work of myself, and also a joint work with Shachar Carmeli.

Contact Person: Dongwen Liu (maliu@zju.edu.cn)