代数学コロキウム

過去の記録 ~07/20次回の予定今後の予定 07/21~

開催情報 水曜日 17:00~18:00 数理科学研究科棟(駒場) 117号室
担当者 今井 直毅,ケリー シェーン

2024年07月10日(水)

17:00-18:00   数理科学研究科棟(駒場) 117号室
Chieh-Yu Chang 氏 (National Tsing Hua University)
On special v-adic gamma values after Gross-Koblitz-Thakur (英語)
[ 講演概要 ]
In this talk, we will introduce special v-adic arithmetic gamma values in positive characteristic, which play the function field analogue of the special values of Morita’s p-adic gamma function. In the function field case, Thakur established a formula à la Gross-Koblitz, and hence obtained algebraicity of certain special v-adic arithmetic gamma values. In a joint work with Fu-Tsun Wei and Jing Yu, we prove that all algebraic relations among these special v-adic gamma values are coming from the three types of functional equations that the v-adic arithmetic gamma function satisfies, and Thakur’s analogue of Gross-Koblitz’s formula.