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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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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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Automorphic Representations Of Low Rank Groups

one theorem is new and recent.There are applications to construction of Galois representations by explicit decomposition of the cohomology;

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On Certain L-Functions

. Contributions illuminate various areas of the study of geometric, analytic, and number theoretic aspects of automorphic forms and their L-functions, and;

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Automorphic Forms, Representations and L-Functions

Contains sections on Reductive groups, representations, Automorphic forms and representations.;

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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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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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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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Galois Representations in Arithmetic Algebraic Geometry

attention, e.g. Erez on geometric trends in Galois module theory; Mazur on rational points on curves and varieties; Moonen on Shimura varieties;

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Automorphic Representations And L-Functions For The General

This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general;

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Automorphic Representations And L-Functions For The General

This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general;

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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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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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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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Galois Theory, Coverings, And Riemann Surfaces

The first part of this book provides an elementary and self-contained exposition of classical Galois theory and its applications to;

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Forms Of Fermat Equations And Their Zeta Functions

, the Galois representation on l-adic cohomology (and so in particular the zeta function) of the hypersurface associated with an arbitrary form;

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Derived Langlands

include automorphic representations, epsilon factors and L-functions, modular forms, Weil-Deligne representations, Galois base change and Hecke;

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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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Computational Aspects of Modular Forms and Galois Representations

start of the explicit Langlands program. The computation of the Galois representations uses their realization, following Shimura and Deligne;

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The Endoscopic Classification of Representations

representations are shown to occur in families (known as global L-packets and A-packets), which are parametrised by certain self-dual automorphic;

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Current Research Topics on Galois Geometrics

collected work presents current research topics in Galois geometry, and their applications. Presented topics include classical objects, blocking;

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Mordell Weil Lattices

design many Galois representations with given Galois groups such as the Weyl groups of E6, E7 and E8. They also explain a connection to the;

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Analytic Methods in Arithmetic Geometry

Andrew V. Sutherland, introduces Sato-Tate groups and explores their relationship with Galois representations, motivic $L$-functions, and Mumford;

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Modular Forms and Fermat's Last Theorem

. Ribet, D.E. Rohrlich, M. Rosen, K. Rubin, R. Schoof, A. Silverberg, J.H. Silverman, P. Stevenhagen, G. Stevens, J. Tate, J. Tilouine, and L;

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Automorphic Forms and Representations

GL(2) over local fields, the theory of automorphic representations, L-functions and advanced topics such as the Langlands conjectures, the;

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Galois Embedding Problems

of exponent p over cyclic Galois extensions E/F whose Galois groups are of exponent p and F contains a primitive p-th root of unity. We develop a;

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Algebra

ends of the chapters. Subjects include groups, rings, fields and Galois theory, modules, and structure of rings and algebras. Further topics;

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