Geometric aspects of the trace formula. ([2018])

• Record Type: Book
• Further Information: Note: Editors, Werner Müller, Sug Woo Shin and Nicolas Templier.
• Editors: Müller, Werner; Shin, Sug Woo; Templier, Nicolas
• Contents: Intro; Preface; Introduction; Contents; Functoriality and the Trace Formula; Foreword; 1 The Principle of Functoriality; 2 The Trace Formula; 3 A Stratification; 4 Further Thoughts; References; Graded Hecke Algebras for Disconnected Reductive Groups; 1 Introduction; 2 The Relation with Langlands Parameters; 3 The Twisted Graded Hecke Algebra of a Cuspidal Support; 4 Representations of Twisted Graded Hecke Algebras; 4.1 Standard Modules; 4.2 Representations Annihilated by r; 4.3 Intertwining Operators and 2-Cocycles; 4.4 Parametrization of Irreducible Representations 4.5 Tempered Representations and the Discrete Series5 The Twisted Graded Hecke Algebra of a Cuspidal Quasi-Support; References; Sur une variante des troncatures d'Arthur; 1 Introduction; 2 Variations sur les constructions d'Arthur; 3 Une autre troncature; 4 Noyaux modifiés; 5 Intégrale orbitale tronquée; 6 Contributions des orbites et intégrales orbitales; 7 Intégrales tronquées de séries d'Eisenstein; 8 Intégrales zêta associées à une orbite nilpotente; 9 Calcul d'intégrales orbitales nilpotentes tronquées; 10 L'énoncé final; 11 Une conjecture; Références Twisted Endoscopy from a Sheaf-Theoretic Perspective1 Introduction; 2 Recollections from Adams-Barbasch-Vogan; 3 Automorphisms; 3.1 Characterizations of Automorphisms; 3.2 Actions on (G/R) and (G); 4 Twisting and the Local Langlands Correspondence; 4.1 The -Equivariance of the Local Langlands Correspondence for Tori; 4.2 The -Equivariance of the Local Langlands Correspondence for Reductive Groups; 5 Twisted Endoscopy; 5.1 Twisted Endoscopic Data; 5.2 Endoscopic Lifting; 5.3 Standard Endoscopic Lifting; 5.4 Twisted Endoscopic Lifting 6 Twisted Endoscopy for GLN and Arthur Packets of Classical GroupsReferences; The Subregular Unipotent Contribution to the Geometric Side of the Arthur Trace Formula for the Split Exceptional Group G2; 1 Introduction; 2 Main Result; 3 The Group of Type G2 and the Space of Binary Cubic Forms; 4 Proof of the Main Result; 5 Proofs of Two Lemmas; 5.1 Proof of Lemma 4.2; 5.2 Proof of Lemma 4.3; References; The Shimura-Waldspurger Correspondence for Mp(2n); 1 Introduction; 2 Automorphic Discrete Spectrum via Theta Correspondence; 2.1 Local Shimura Correspondence; 2.2 Global Results 2.3 The Tempered Part2.4 Multiplicity Formula; 2.5 Theta Lifting; 2.6 Results of J.S. Li; 2.7 Assignment of A-Parameters; 2.8 Proof of Proposition 2.7; 2.9 Equality?; 2.10 Key Proposition for Tempered; 2.11 Proof of Key Proposition; 2.12 Local Packets; 3 Endoscopy and Character Identities for Mp(2n); 3.1 Basic Formalism; 3.2 Endoscopy; 3.3 Review of Vogan Packets for SO(2n+1); 3.4 Desiderata for LLC of Mp(2n, k); 3.5 Case Study: n=1; 3.6 The Local Conjecture; 3.7 The Case of General n; 4 Stable Trace Formula and Local Intertwining Relations; 4.1 Automorphic Discrete Spectrum
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Copyright Date: 2018
• Extent: 1 online resource
• Subjects: 512.74; Mathematics; Trace formulas; Geometry, Algebraic; MATHEMATICS / Algebra / Intermediate; Mathematics -- Algebra -- Abstract; Groups & group theory; Number theory; Group theory; Mathematics -- Number Theory; Number theory; Electronic books
• Languages: English
• ISBNs: 9783319948331; 3319948334
• Related ISBNs: 9783319948324; 3319948326
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (EBSCO, viewed October 17, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.