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Topics in Number Theory

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Author(s): A. J. Scholl, ed. Dexter Chua
Series: Cambridge Mathematical Tripos Part IV Lecture Notes
Publisher: University of Cambridge
Year: 2018

Language: English
City: Cambridge
Tags: maths; mathematics; math; advanced; college; university; higher; further; pure; applied

Introduction
Class field theory
Preliminaries
Local class field theory
Global class field theory
Ideal-theoretic description of global class field theory
L-functions
Hecke characters
Abelian L-functions
Non-abelian L-functions
l-adic representations
The Langlands correspondence
Representations of groups
Hecke algebras
The Langlands classification
Local Langlands correspondence
Modular forms and representation theory
Index