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Student Number Theory:Tate’s thesis

Beomseok Kwon
Wednesday, April 3, 2024
3:00-3:50 PM
5822 East Hall Map
Tate’s 1950 thesis provides a deeper understanding of the functional equation of Hecke L-functions through harmonic analysis on adèles and idèles. We begin by examining Hecke’s original proof of the functional equation. We will then delve into the key components of Tate’s thesis, including local and global additive duality, and utilize these concepts to establish the functional equation and compute the root numbers in both local and global cases. Additionally, we will discuss Godement and Jacquet’s extension of Tate’s work to automorphic L-functions for GL(n).
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Student Arithmetic Seminar - Department of Mathematics, Department of Mathematics