Arbeitstagung Bonn 2013 : in memory of Friedrich Hirzebruch /: in memory of Friedrich Hirzebruch. ([2016])

• Record Type: Book
• Further Information: Note: Werner Ballmann [and four others], editors.
• Editors: Ballmann, Werner
• Other Names: Hirzebruch, Friedrich honouree.
• Contents: Preface; Contents; Contributors; The Hirzebruch Signature Theorem for Conical Metrics; 1 Introduction; 2 Multiplicative Genera; 3 Cones; 4 Globalizing the Argument; References; Depth and the Local Langlands Correspondence; 1 Introduction; 2 The Local Langlands Correspondence for Inner Formsof GLn(F); 2.1 The Statement of the Correspondence; 2.2 The Jacquet-Langlands Correspondence; 2.3 Depth for Langlands Parameters; 2.4 The Depth of Representations of GLm(D); 2.5 Conductors of Representations of GLm (D); 2.6 Depth Preservation; 3 The Local Langlands Correspondence for Inner Formsof SLn(F). 3.1 The Statement of the Correspondence3.2 The Depth of Representations of GLm (D)der; 3.3 The Depth of Langlands Parameters for GLm (D)der; References; Guide to Elliptic Boundary Value Problems for Dirac-Type Operators; 1 Introduction; 2 Preliminaries; 2.1 Differential Operators; 2.2 The Principal Symbol; 2.3 Elliptic Operators; 3 Dirac-Type Operators; 3.1 Clifford Relations and Dirac-Type Operators; 3.2 Adapted Operators on the Boundary; 3.3 Formally Self-adjoint Dirac-Type Operators; 4 Boundary Value Problems; 4.1 Spectral Subspaces; 4.2 The Maximal Domain; 4.3 Boundary Conditions. 4.4 D-Elliptic Boundary Conditions4.5 Self-adjoint D-Elliptic Boundary Conditions; 4.6 Local and Pseudo-Local Boundary Conditions; 4.7 Examples; 5 Spectral Theory; 5.1 Coercivity at Infinity; 5.2 Coercivity with Respect to a Boundary Condition; 6 Index Theory; 6.1 Fredholm Property and Index Formulas; 6.2 Relative Index Theory; 6.3 Boundary Chiralities and Index; Appendix 1: Dirac Operators in the Sense of Gromov and Lawson; Appendix 2: Proofs of Some Auxiliary Results; References; Symplectic and Hyperkähler Implosion; 1 Introduction; 2 Symplectic Quivers; 3 Hyperkähler Quiver Diagrams. 4 Properties of Hyperkähler Implosion5 Hyperkähler Implosion for Special Orthogonal and Symplectic Groups; References; Kazhdan-Lusztig Conjectures and Shadows of Hodge Theory; 1 Introduction; 2 Intersection Cohomology and the Decomposition Theorem; 3 Schubert Varieties and Bott-Samelson Resolutions; 4 Soergel Modules and Intersection Cohomology; 5 Soergel Modules for Arbitrary Coxeter Systems; 6 The Flag Variety of a Dihedral Group; 6.1 Gauß's q-Numbers; 6.2 The Reflection Representation of a Dihedral Group; 6.3 Schubert Calculus; References. Uniform Sup-Norm Bounds on Average for Cusp Forms of Higher Weights1 Introduction; 1.1 Motivation; 1.2 Statement of Results; 1.3 Related Results; 1.4 Outline of the Paper; 2 Background Material; 2.1 Hyperbolic Metric; 2.2 Cusp Forms of Higher Weights; 2.3 Maass Forms of Higher Weights; 2.4 Heat Kernels of Higher Weights; 2.5 Spectral Expansions; 3 Heat Kernel Analysis; 4 Bounds in the Cocompact Setting; 5 Bounds in the Cofinite Setting; 6 Bounds for Covers; 7 Optimality of the Bounds; 7.1 Optimality in the Cocompact Setting; 7.2 Optimality in the Cofinite Setting; References.
• Publisher Details: Cham, Switzerland : Birkhauser/Springer International Publishing
• Publication Date: 2016
• Extent: 1 online resource (427 pages)
• Subjects: 510; Geometry, Algebraic; Topology; Geometry, Differential; Operator theory; Mathematicians; MATHEMATICS -- Geometry -- General; Geometry, Algebraic; Geometry, Differential; Mathematicians; Operator theory; Topology; Mathematics; Algebraic Geometry; Group Theory and Generalizations; Global Analysis and Analysis on Manifolds; Operator Theory; Differential Geometry; Topology; Electronic books
• Languages: English
• ISBNs: 9783319436487; 3319436481
• Related ISBNs: 9783319436463; 3319436465
• Notes: Note: Includes bibliographical references.; Note: Print version record.
• 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.