SU\G(𝔾)/K·U
Mathematics â€ș Mathematical Physics

Advanced Algebra and Geometry

Works Count: 59698

Description

This cluster of papers focuses on providing proofs and related research on the Langlands Conjectures for GL(n) over local and global fields. It encompasses topics such as automorphic forms, representation theory, L-functions, harmonic analysis, algebraic groups, modular forms, symmetric spaces, and cohomology.

Keywords

Langlands Conjectures; Automorphic Forms; Representation Theory; Local Fields; L-functions; Harmonic Analysis; Algebraic Groups; Modular Forms; Symmetric Spaces; Cohomology

Most Cited Works

Action Title Date Authors
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Discrete Subgroups of Lie Groups 1972-01-01 M. S. Raghunathan
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Linear algebraic groups 1966-01-01 Armand Borel
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Cohomology of Number Fields 2008-01-01 JĂŒrgen Neukirch Alexander Schmidt Kay Wingberg
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Vector Bundles on Complex Projective Spaces 1980-01-01 Christian Okonek Michael Schneider Heinz Spindler
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Theta Functions on Riemann Surfaces 1973-01-01 John D. Fay
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Lectures on Chevalley Groups 2016-12-20 Robert Steinberg
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Geometric Invariant Theory 1994-01-01 David Mumford John E. Fogarty Frances Kirwan
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Representations of Algebraic Groups 2007-08-01 Jens Carsten Jantzen
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Linear Algebraic Groups 1998-01-01 T. A. Springer
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Lie Groups and Lie Algebras 2002-01-01 NicolĂĄs Bourbaki
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The local structure of Poisson manifolds 1983-01-01 Alan Weinstein
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Representations of Compact Lie Groups 1985-01-01 Theodor Bröcker Tammo tom Dieck
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Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups 2000-01-01 A. Borel Nolan R. Wallach
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Infinite-Dimensional Lie Algebras 1990-09-20 Victor G. Kač
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The Book of Involutions 1998-06-30 Max-Albert Knus Alexander Merkurjev Markus Rost Jean-Pierre Tignol
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Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties 1993-01-01 Victor V. Batyrev
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Seiberg-Witten Theory and Random Partitions 2007-05-30 Nikita Nekrasov AndreÄ­ Okounkov
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Eigenvalues and Condition Numbers of Random Matrices 1988-10-01 Alan Edelman
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Statistical Ensembles of Complex, Quaternion, and Real Matrices 1965-03-01 J. Ginibre
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Differential Geometry, Lie Groups, and Symmetric Spaces 2001-06-12 Sigurđur Helgason
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Introduction to the Minimal Model Problem 2018-06-06 YĆ«jirƍ Kawamata Katsumi Matsuda Kenji Matsuki
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Representations of Coxeter groups and Hecke algebras 1979-06-01 David Kazhdan G. Lusztig
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Transformation Groups in Differential Geometry 1972-01-01 ShĂŽshichi Kobayashi
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Ring-Theoretic Properties of Certain Hecke Algebras 1995-05-01 Richard Taylor Andrew Wiles
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Lie Groups Beyond an Introduction 1996-01-01 Anthony W. Knapp
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<i>Lie Groups, Lie Algebras, and Some of Their Applications</i> 1974-11-01 Robert Gilmore RĂłbert Hermann
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Self-duality in four-dimensional Riemannian geometry 1978-09-12 Michael Atiyah Nigel Hitchin I. M. Singer
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Compact matrix pseudogroups 1987-12-01 S. L. Woronowicz
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DISTRIBUTION OF EIGENVALUES FOR SOME SETS OF RANDOM MATRICES 1967-04-30 V A Marčenko L. А. Pastur
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Higgs bundles and local systems 1992-12-01 Carlos Simpson
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Lie Groups, Lie Algebras, and Their Representations 1984-01-01 V. S. Varadarajan
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Discrete Subgroups of Semisimple Lie Groups 1991-01-01 Gregori Aleksandrovitch Margulis
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Phases of N = 2 theories in two dimensions 1993-08-01 Edward Witten
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Liouville Correlation Functions from Four-Dimensional Gauge Theories 2010-01-21 Luis F. Alday Davide Gaiotto Yuji Tachikawa
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Vertex algebras, Kac-Moody algebras, and the Monster 1986-05-01 Richard E. Borcherds
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Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles 1985-01-01 Simon Donaldson
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Automorphic Forms on GL (2) 1970-01-01 H. Jacquet R. P. Langlands
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Special Functions and the Theory of Group Representations 1968-12-31 N. Iïž aïžĄ. Vilenkin
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Moduli of representations of the fundamental group of a smooth projective variety. II 1994-12-01 Carlos Simpson
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Existence of minimal models for varieties of log general type 2009-11-13 Caucher Birkar Paolo Cascini Christopher D. Hacon James M textupc Kernan
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Introduction to the Arithmetic Theory of Automorphic Functions 1972-10-01 Marvin Tretkoff Goro Shimura
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Sur La Cohomologie des Espaces Fibres Principaux et des Espaces Homogenes de Groupes de Lie Compacts 1953-01-01 Armand Borel
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Partial differential equations of parabolic type 1965-06-01 John S. Maybee
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Level-spacing distributions and the Airy kernel 1994-01-01 Craig A. Tracy Harold Widom
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Seiberg-Witten Prepotential from Instanton Counting 2003-01-01 Nikita Nekrasov
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Harmonic Analysis and Discontinuous Groups in Weakly Symmetric Riemannian Spaces With Applications to Dirichlet Series 1956-09-01 Atle Selberg
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Algebraic number theory 1999-11-22 Kazuya KatĂŽ Nobushige Kurokawa Takeshi Saito
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On Modular Forms of Half Integral Weight 1973-05-01 Goro Shimura
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Linear Algebraic Groups 1991-01-01 Armand Borel
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Hyperbolic Groups 1987-01-01 M. Gromov

Most Recent Works

Action Title Date Authors
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A note on the density of zeros of partial sums of the Dirichlet lambda, beta and eta functions 2025-05-02 Eric Dubon
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Diagram supermodules for 0-Hecke–Clifford algebras 2025-05-03 Dominic Searles
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Irreducible unitary representations with non-zero relative Lie algebra cohomology of the Lie group $$SO_0(2,m)$$ 2025-05-03 Ankita Pal Pampa Paul
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Quadratic pseudostable hodge integrals and Mumford’s relation 2025-05-03 Renzo Cavalieri Matthew M. Williams
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Toward Qin’s conjecture on Hilbert schemes of points and quasi-modular forms 2025-05-03 Mazen M. Alhwaimel
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A saturated 1-system of curves on the surface of genus 3 2025-05-03 Zhaoshen Zhai
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Spectrally distinguishing symmetric spaces I 2025-05-03 Emilio A. Lauret Juan SebastiĂĄn RodrĂ­guez
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Holomorphic forms and non-tautological cycles on moduli spaces of curves 2025-05-04 Veronica Arena Samir Canning Emily Clader Richard Haburcak Amy Q. Li Siao Chi Mok Carolina Tamborini
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Rank-Two Reflexive Sheaves on the Projective Space with Second Chern Class Equal to Four 2025-05-04 Marcos Jardim Alan Muniz
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Dualizing complexes on the moduli of parabolic bundles 2025-05-05 Linus Hamann Naoki Imai
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The natural operators lifting $q$-forms to $p$-forms on Weil bundles 2025-05-05 WƂodzimierz M. Mikulski
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Counting the fission trees and nonabelian Hodge graphs (untwisted case) 2025-05-01 Philip Boalch
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Born Lie algebras 2025-05-01 Alejandro Gil-GarcĂ­a Paula Naomi Pilatus
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Exact mean and variance of the squared Hellinger distance for random density matrices 2025-05-05 Vinay Kumar Kaushik Vasan Santosh Kumar
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Integral points of Shimura varieties: an “all or nothing” principle 2025-05-01 H. Liu
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Uniformly semi-rational simple groups 2025-05-06 Marco Vergani
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Real Left-Symmetric Algebras with Positive Definite Koszul Form and KĂ€hler-Einstein Structures 2025-05-01 Mohamed Boucetta Hasna Essoufi
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Restricted free products of Demushkin groups of rank â„”0 as absolute Galois groups 2025-05-01 Tamar Bar‐On
+ PDF Ask
Capped vertex functions for $${\text {Hilb}}^n(\mathbb {C}^2)$$ 2025-05-06 Jeffrey Ayers Andrey S. Smirnov
+ PDF Ask
Pentagonal number recurrence relations for p(n) 2025-05-06 Kevin Gomez Ken Ono Hasan Saad Ajit Singh
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Bordifications of the moduli spaces of tropical curves and abelian varieties, and unstable cohomology of $\mathrm{GL}_{g}(\mathbb{Z})$ and $\mathrm{SL}_{g}(\mathbb{Z})$ 2025-05-06 Francis Brown
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Period function of Maass forms from Ramanujan's lost notebook 2025-05-06 YoungJu Choie Rahul Kumar
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On the Dynamical Mordell–Lang Conjecture in Positive Characteristic 2025-05-01 Junyi Xie She Yang
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The equivariant B model 2025-05-06 Guido Festuccia Roman Mauch Maxim Zabzine
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Integration by parts and Bismut-Elworthy-Li-type formula on the Heisenberg Lie group using the hypoelliptic measure 2025-05-07 Rui Albuquerque A. M. S. MacĂȘdo Raydonal Ospina
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Five-point functions and the permutation group <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>S</mml:mi><mml:mn>5</mml:mn></mml:msub></mml:math> 2025-05-07 Gernot Eichmann R. Torres
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Decomposition of Jacobians and Shimura subvarieties of $$A_g$$ 2025-05-07 Abolfazl Mohajer
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Local Statistics in Normal Matrix Models with Merging Singularity 2025-05-07 Torben KrĂŒger Seung‐Yeop Lee Yang Meng
+ PDF Ask
GKZ Discriminant and Multiplicities 2025-05-07 Jesse Huang Peng Zhou
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Legendre Transformations of a Class of Generalized Frobenius Manifolds and the Associated Integrable Hierarchies 2025-05-07 Si-Qi Liu Haonan Qu Youjin Zhang
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Spectral decomposition and Siegel–Veech transforms for strata: the case of marked tori 2025-05-07 Jayadev S. Athreya Jean LagacĂ© Martin Möller Martin Raum
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Explicit computation of the field of moduli of some non-hyperelliptic pseudo-real curves 2025-05-07 Rubén A. Hidalgo
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Orbits of Theta Characteristics 2025-05-06 H. W. Braden Linden Disney-Hogg
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Lagrangian planes in hyperkÀhler varieties of $$K3^{[n]}$$-type 2025-05-07 Georg Oberdieck
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The duality resolution at $$n=p=2$$ 2025-05-08 AgnĂšs Beaudry Irina Bobkova Hans-Werner Henn
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Products of involutions in symplectic groups over general fields (II): Finite fields 2025-05-08 Clément de Seguins Pazzis
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On the index of power compositional polynomials 2025-05-08 Sumandeep Kaur Surender Kumar LĂĄszlĂł Remete
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Some counterexamples for a version of Springer's theorem on forms of higher degree 2025-05-08 A. S. Sivatski
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On the pluricanonical map of projective 3-folds of general type with P3 ≄ 2 2025-05-07 Yong Hu Jianshi Yan
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Arithmetic invariant theory of reductive groups 2025-05-09 Yidi Wang
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Erratum to “Orientability of moduli spaces of Spin(7)-instantons and coherent sheaves on Calabi–Yau 4-folds” [Adv. Math. 368 (2020) 107134] 2025-05-09 Yalong Cao Jacob Gross Dominic Joyce
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Background dependent cutoff for Wilson actions 2025-05-09 C. Pagani Hidenori Sonoda
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Derived 𝑝-adic heights and the leading coefficient of the Bertolini–Darmon–Prasanna 𝑝-adic 𝐿-function 2025-05-09 Francesc Castella Chi-Yun Hsu Debanjana Kundu Young-Min Lee Zheng Liu
+ PDF Ask
Special subvarieties in the locus of intermediate Jacobians of cubic threefolds 2025-05-09 Moritz Hartlieb
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$M_{p}$ -GROUPS AND BRAUER CHARACTER DEGREES 2025-05-09 Xiaoyou Chen Mark L. Lewis
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5d-4d correspondence in twisted M-theory on a conifold 2025-05-08 Meer Ashwinkumar Mir Faizal Arshid Shabir Douglas J. Smith Yehao Zhou
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On the connections between the low dimensional homology groups of SL <sub>2</sub> and PSL <sub>2</sub> 2025-05-10 Behrooz Mirzaii Elvis Torres PĂ©rez
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Pfaffian Structure of the Eigenvector Overlap for the Symplectic Ginibre Ensemble 2025-05-10 Gernot Akemann Sung‐Soo Byun Kohei Noda
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Reduced Words for Reflections in Weyl Groups 2025-05-10 Elizabeth Milićević
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Quantitative stability for complex Monge–Ampùre equations, I 2025-05-10 Hoang-Son Do Duc‐Viet Vu