Arbeitstagung Bonn 2013 : in memory of Friedrich Hirzebruch /: in memory of Friedrich Hirzebruch. ([2016])
- Record Type:
- Book
- Title:
- Arbeitstagung Bonn 2013 : in memory of Friedrich Hirzebruch /: in memory of Friedrich Hirzebruch. ([2016])
- Main Title:
- Arbeitstagung Bonn 2013 : in memory of Friedrich Hirzebruch
- 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; 6.2Preface; 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. … (more)
- 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.
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- British Library HMNTS - ELD.DS.380841
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