Geometric Gauss Sums and Gross-Koblitz Formulas over Function Fields
時 間:2025-03-28 13:30 (星期五) / 地 點:M310
Let p be an odd prime number. Classically, the Gross- Koblitz formula expresses the product of specific p-adic gamma values in terms of Gauss sums. As a result, we obtain the algebraicity of particular p-adic gamma values. On the function field side, Thakur introduced the so-called “arithmetic” Gauss sums and derived a Gross-Koblitz-type formula for v-adic arithmetic gamma values. In this talk, we introduce the “geometric” Gauss sums over function fields, and present the geometric version of Gross-Koblitz formula. The primary key to our proof will also be discussed if time permits.

Speaker: 張庭瑋 先生 (國立清華大學數學系)
Title : Geometric Gauss Sums and Gross-Koblitz Formulas over Function Fields
Time : 13:30 p.m., March 28, 2025
Place : M310, Math. Dept., National Taiwan Normal University
Coordinators : Professor Jing Yu (NTU)
Professor Hua-Chieh Li (NTNU)
Professor Liang-Chung Hsia (NTNU)