表示论与数论讨论班—A p-adic analog of Hasse-Davenport product relation and an application for covering groups.

报告人：Dani Szpruch (The Open University of Israel)

时  间：2024年3月6日 （星期三）下午13:30-14:30 

地  点：海纳苑2幢203

摘  要：The Hasse-Davenport product relation is an identity involving products of Gauss sums. In this talk we shall introduce  some generalizations of this classical result for epsilon-factors and related arithmetic factors defined on a p-adic field F. We will then show that some of these generalizations are equivalent to certain  representation theoretic identities relating the determinant of  local coefficient matrices defined for coverings of SL(2,F) to Plancherel measures and gamma-factors.

报告人简介：Dani Szpruch教授就职于以色列开放大学，致力于表示论研究，尤引领并深耕于覆盖群表示局部系数之算术结构的领域多年；文章/专著发表于Memoirs of AMS, Memoires de SMF, Israel J Math. Canadian J Math. 等等。

联系人：高帆老师（gaofan@zju.edu.cn)