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Computational Aspects of Modular Forms and Galois Representations

Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and;

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Elliptic Curves, Hilbert Modular Forms And Galois Deformatio

in Arithmetic Geometry in the 2009-2010 academic year. The notes by Laurent Berger provide an introduction to p-adic Galois representations and;

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Computational Aspects Of Algebraic Curves

The development of new computational techniques and better computing power has made it possible to attack some classical problems;

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Elliptic Curves, Modular Forms and Iwasawa Theory

collection of contributions covers a range of topics in number theory, concentrating on the arithmetic of elliptic curves, modular forms, and Galois;

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Number Theory Related to Modular Curves

of Galois representations attached to modular forms, rational points on elliptic and modular curves, modularity of some families of Abelian;

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Automorphic Forms And Shimura Varieties Of Pgsp(2)

The area of automorphic representations is a natural continuation of studies in the 19th and 20th centuries on number theory and modular;

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Algorithmic Algebra and Number Theory

field theory, constructive Galois theory, computational aspects of modular forms and of Drinfeld modules * computational algebraic geometry;

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Automorphic Representations Of Low Rank Groups

The area of automorphic representations is a natural continuation of studies in number theory and modular forms. A guiding principle is a;

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Automorphic Forms And Galois Representations: Volume 1

Automorphic forms and Galois representations have played a central role in the development of modern number theory, with the former coming;

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Modular Forms

This book presents a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms;

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An Introduction to Non-Abelian Class Field Theory

This monograph provides a brief exposition of automorphic forms of weight 1 and their applications to arithmetic, especially to Galois;

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Modular Forms And Galois Cohomology

theory and results on elliptic modular forms, including a substantial simplification of the Taylor-Wiles proof by Fujiwara and Diamond. It;

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Jacobi Forms Finite Quadratic Modules and Weil Representations over Number Fiel

arithmetic theory of Hilbert modular forms, its L-series, and into elliptic curves over number fields. This work is inspired by the classical theory;

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Automorphic Forms & Galois Representati

Automorphic forms and Galois representations have played a central role in the development of modern number theory, with the former coming;

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Cohomology of Drinfeld Modular Varieties, Part 1, Geometry, Counting of Points and Local Harmonic Analysis

over number fields. The Langlands correspondence is a conjectured link between automorphic forms and Galois representations over a global field. By;

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Cohomology of Drinfeld Modular Varieties, Part 1, Geometry, Counting of Points and Local Harmonic Analysis

over number fields. The Langlands correspondence is a conjectured link between automorphic forms and Galois representations over a global field. By;

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L-Functions And Galois Representations

This collection of survey and research articles brings together topics at the forefront of the theory of L-functions and Galois;

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Fermat's Last Theorem

proof relies on basic background materials in number theory and arithmetic geometry, such as elliptic curves, modular forms, Galois;

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Modular Forms on Schiermonnikoog

Modular forms are functions with an enormous amount of symmetry that play a central role in number theory, connecting it with analysis and;

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Notes from the International Autumn School on Computational Number Theory

This volume collects lecture notes and research articles from the International Autumn School on Computational Number Theory, which;

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Elliptic Curves and Big Galois Representations

The arithmetic properties of modular forms and elliptic curves lie at the heart of modern number theory. This book develops a;

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Automorphic Forms and Even Unimodular Lattices

very rich, leading us to classical themes such as theta series, Siegel modular forms, the triality principle, L-functions and congruences;

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Modular Forms and Fermat's Last Theorem

curves, modular functions, modular curves, Galois cohomology, and finite group schemes. Representation theory, which lies at the core of Wiles;

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Variations on a Theorem of Tate

Let $F$ be a number field. These notes explore Galois-theoretic, automorphic, and motivic analogues and refinements of Tate's basic result;

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Galois Representations and Phi, Gamma-modules

is the first to provide a detailed and self-contained introduction to this theory. The close connection between the absolute Galois groups;

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Modular Forms

The theory of modular forms is a fundamental tool used in many areas of mathematics and physics. It is also a very concrete and fun;

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Cambridge Studies in Advanced Mathematics Cohomology of Drinfeld Modular Varieties

Cohomology of Drinfeld Modular Varieties provides an introduction, in two volumes, both to this subject and to the Langlands correspondence;

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