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On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2

The authors study the non-semisimple terms in the geometric side of the Arthur trace formula for the split symplectic similitude group and;

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Automorphic Forms And Shimura Varieties Of Pgsp(2)

an initial example of the lifting, from a rank 2 symplectic group PGSp(2) to PGL(4), reflecting the natural embedding of Sp(2, ) in SL(4;

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Geometric Aspects of the Trace Formula

of higher rank groups. Based on research presented at the 2016 Simons Symposium on Geometric Aspects of the Trace Formula that took place in Schloss;

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Traces of Hecke Operators

development of the geometric side of the Arthur-Selberg trace formula for the group $operatorname{GL 2(mathbf{A )$. This leads to an expression for;

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The Endoscopic Classification of Representations

of another. In this book, Arthur establishes an endoscopic classification of automorphic representations of orthogonal and symplectic groups G. The;

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A Local Relative Trace Formula for the Ginzburg-Rallis Model

is able to prove the geometric side of a local relative trace formula for the Ginzburg-Rallis model. Then by applying such formula, the author;

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Hamiltonian Group Actions and Equivariant Cohomology

This monograph could be used for a graduate course on symplectic geometry as well as for independent study. The monograph starts with an;

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Introduction to Symplectic Geometry

inspiring in the emerging field of Geometric Science of Information, in particular the chapter on Symplectic G-spaces, where Jean-Louis Koszul;

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Automorphic Representations Of Low Rank Groups

square lifting from SL(2) to PGL(3), reflecting the 3-dimensional representation of PGL(2) in SL(3); and basechange from the unitary group U(3, E;

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Automorphic Forms on Adele Groups. (AM-83), Volume 83

9. The Trace Formula for GL(2) 10. Automorphic Forms on a Quaternion Algebra;

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Symplectic Geometry and Fourier Analysis

preliminaries, advancing to discussions of symplectic geometry and the application of its concepts to the action of a Lie group on a symplectic manifold;

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Geometric Algebra

. Exposition is centered on the foundations of affine geometry, the geometry of quadratic forms, and the structure of the general linear group. Context;

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Symplectic Fibrations and Multiplicity Diagrams

of multiplicities, hierarchical patterns in multiplicity diagrams, lacanae, and the multiplicity diagrams of the rank 2 and rank 3 groups. The authors take;

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Symplectic Fibrations and Multiplicity Diagrams

of multiplicities, hierarchical patterns in multiplicity diagrams, lacanae, and the multiplicity diagrams of the rank 2 and rank 3 groups. The authors take;

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Geometric Algebra

geometry, symplectic and orthogonal geometry, the general linear group, and the structure of symplectic and orthogonal groups. The author offers;

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Symplectic Geometry and Topology

Symplectic geometry has its origins as a geometric language for classical mechanics. But it has recently exploded into an independent field;

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Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31

These notes describe a general procedure for calculating the Betti numbers of the projective quotient varieties that geometric invariant;

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On Moduli Spaces of Semistable Sheaves on K3 Surfaces

A big challenge in symplectic geometry is the search for irreducible symplectic manifolds. After O'Grady constructed striking examples out;

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Flat Rank Two Vector Bundles on Genus Two Curves

The authors study the moduli space of trace-free irreducible rank 2 connections over a curve of genus 2 and the forgetful map towards the;

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Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123

The purpose of this book is to develop the stable trace formula for unitary groups in three variables. The stable trace formula is then;

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Collected Works of Herve Jacquet

a pair of representations of the general linear group. Thus, it completes Jacquet's papers on the subject (joint with Shalika and Piatetski;

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Scattering Theory for Automorphic Functions. (AM-87), Volume 87

meromorphic character over the whole complex plane of the Eisenstein series; and the Selberg trace formula. CONTENTS: 1. Introduction. 2. An abstract;

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Tensors

available in the original research papers: (1) Shitov's 2017 refutation of longstanding conjectures of Strassen on rank additivity and Common on;

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Zeta Functions Of Reductive Groups And Their Zeros

of lattices and arithmetic principal torsors. The second part on rank two zeta functions can be used as an introduction course, containing a Siegel;

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Shimura Varieties

the Stabilization of the Trace Formula published in 2011. The books are intended primarily for two groups of readers: those interested in the;

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Harmonic Analysis on Symmetric Spaces - Higher Rank Spaces, Positive Definite Matrix Space and Generalizations

the solution of the heat equation on Pn, the central limit theorem of Donald St. P. Richards for Pn, results on densest lattice packing;

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Symplectic, Poisson, and Noncommutative Geometry

mathematical quantization scheme based on a geometric approach to operator algebras. Deformation quantization, a blend of symplectic methods and;

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