[NTNU Number Theory Seminar] 【03月28日】張庭瑋 / Geometric Gauss Sums and Gross-Koblitz Formulas over Function Fields

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Geometric Gauss Sums and Gross-Koblitz Formulas over Function Fields

時 間:2025-03-28 13:30 (星期五) / 地 點:M310

張庭瑋 先生
國立清華大學數學系

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)

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