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Unitary groups. --- Trace formulas. --- Representations of groups. --- Automorphic forms.
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Group theory --- Automorphic forms. --- Formes automorphes. --- Trace formulas. --- Formules de trace. --- Representations of groups. --- Représentations de groupes. --- Automorphic forms --- Representations of groups --- Trace formulas --- Formulas, Trace --- Discontinuous groups --- Group representation (Mathematics) --- Groups, Representation theory of --- Automorphic functions --- Forms (Mathematics)
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Algebra --- Hecke operators --- Trace formulas. --- Opérateurs de Hecke --- Formules de trace --- Hecke operators. --- 51 <082.1> --- Mathematics--Series --- Opérateurs de Hecke --- Trace formulas --- Formulas, Trace --- Automorphic forms --- Discontinuous groups --- Representations of groups --- Operators, Hecke --- Forms, Modular --- Operator theory
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Following the method developed by Waldspurger and Beuzart-Plessis in their proofs of the local Gan-Gross-Prasad conjecture, the author 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 proves a multiplicity formula of the Ginzburg-Rallis model for the supercuspidal representations. Using that multiplicity formula, the author proves the multiplicity one theorem for the Ginzburg-Rallis model over Vogan packets in the supercuspidal case.
Trace formulas. --- Geometry, Algebraic. --- Harmonic analysis. --- p-adic groups. --- Analyse harmonique (mathématiques) --- Groupes p-adiques. --- Lie groups. --- Lie, Groupes de. --- Formules de trace. --- Trace formulas --- Geometry, Algebraic --- Algebraic geometry --- Geometry --- Formulas, Trace --- Automorphic forms --- Discontinuous groups --- Representations of groups
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Group theory --- Selberg trace formula --- Selberg trace formula. --- 51 --- Functions, Zeta --- Number theory --- Riemann surfaces --- Trace formulas --- Mathematics --- 51 Mathematics
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Number theory --- Lie groups. --- Representations of groups. --- Trace formulas. --- Nombres, Théorie des --- Formes automorphes --- Automorphic forms --- Number theory. --- Nombres, Théories des --- Représentations de groupes de Lie
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The Riemann Zeta-Function (De Gruyter Expositions in Mathematics).
Fonctions zêta --- Functions [Zeta ] --- Funsties [Zêta ] --- Zêta functies --- Functions, Zeta. --- Selberg trace formula. --- Functions, Zeta --- Number theory --- Riemann surfaces --- Trace formulas --- Zeta functions
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Automorphic forms --- Eisenstein series --- Selberg trace formula --- Functions, Zeta --- Number theory --- Riemann surfaces --- Trace formulas --- Series, Eisenstein --- Automorphic functions --- Forms (Mathematics)
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The second of three volumes devoted to the study of the trace formula, these proceedings focus on automorphic representations 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 Elmau, Germany, the volume contains both original research articles and articles that synthesize current knowledge and future directions in the field. The articles discuss topics such as the classification problem of representations of reductive groups, the structure of Langlands and Arthur packets, interactions with geometric representation theory, and conjectures on the global automorphic spectrum. Suitable for both graduate students and researchers, this volume presents the latest research in the field. Readers of the first volume Families of Automorphic Forms and the Trace Formula will find this a natural continuation of the study of the trace formula.
Trace formulas. --- Geometry, Algebraic. --- Algebraic geometry --- Geometry --- Formulas, Trace --- Automorphic forms --- Discontinuous groups --- Representations of groups --- Number theory. --- Group theory. --- Number Theory. --- Group Theory and Generalizations. --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Number study --- Numbers, Theory of
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