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Arbeitstagung Bonn 2013

Part of the Progress in Mathematics Book Series (volume 319)

Editors: Ballmann, Werner; Blohmann, Christian; Faltings, Gerd; Teichner, Peter; Zagier, Don

DOI: 10.1007/978-3-319-43648-7

ISBN: 978-3-319-43646-3

Publisher: Springer International Publishing - Springer Journals

Nov 13, 2016

1 - 10 of 15 Chapters

LitStream

Chapter 1The Hirzebruch Signature Theorem for Conical Metrics

Atiyah, Michael

Pages: 1 –15

[Exactly 60 years ago the young Fritz Hirzebruch came up with two spectacular theorems [H53, H54] which set the scene for the future development of algebraic geometry and topology.]
LitStream

Chapter 2Depth and the Local Langlands Correspondence

Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten

Pages: 17 –41

[Let G be an inner form of a general linear group over a non-archimedean local field. We prove that the local Langlands correspondence for G preserves depths. We also show that the local Langlands correspondence for inner forms of special linear groups preserves the depths of essentially tame...
LitStream

Chapter 3Guide to Elliptic Boundary Value Problems for Dirac-Type Operators

Bär, Christian; Ballmann, Werner

Pages: 43 –80

[We present an introduction to boundary value problems for Dirac-type operators on complete Riemannian manifolds with compact boundary. We introduce a very general class of boundary conditions which contain local elliptic boundary conditions in the sense of Lopatinski and Shapiro as well as the...
LitStream

Chapter 4Symplectic and Hyperkähler Implosion

Dancer, Andrew; Doran, Brent; Kirwan, Frances; Swann, Andrew

Pages: 81 –103

[We review the quiver descriptions of symplectic and hyperkähler implosion in the case of SU(n) actions. We give quiver descriptions of symplectic implosion for other classical groups, and discuss some of the issues involved in obtaining a similar description for hyperkähler implosion.]
LitStream

Chapter 5Kazhdan–Lusztig Conjectures and Shadows of Hodge Theory

Elias, Ben; Williamson, Geordie

Pages: 105 –126

[We give an informal introduction to the authors’ work on some conjectures of Kazhdan and Lusztig, building on work of Soergel and de Cataldo–Migliorini. This article is an expanded version of a lecture given by the second author at the Arbeitstagung in memory of Frederich Hirzebruch.]
LitStream

Chapter 6Uniform Sup-Norm Bounds on Average for Cusp Forms of Higher Weights

Friedman, Joshua S.; Jorgenson, Jay; Kramer, Jürg

Pages: 127 –154

[Let Γ⊂PSL2(ℝ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\Gamma \subset...
LitStream

Chapter 7Fivebranes and 4-Manifolds

Gadde, Abhijit; Gukov, Sergei; Putrov, Pavel

Pages: 155 –245

[We describe rules for building 2d theories labeled by 4-manifolds. Using the proposed dictionary between building blocks of 4-manifolds and 2d 𝒩=(0,2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb}...
LitStream

Chapter 8Higgs Bundles and Characteristic Classes

Hitchin, Nigel

Pages: 247 –264

[Sixty years ago Hirzebruch observed how the vanishing of the Stiefel–Whitney class w2 led to integrality of the Â\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}...
LitStream

Chapter 9Hirzebruch–Milnor Classes and Steenbrink Spectra of Certain Projective Hypersurfaces

Maxim, Laurentiu; Saito, Morihiko; Schürmann, Jörg

Pages: 265 –287

[We show that the Hirzebruch–Milnor class of a projective hypersurface, which gives the difference between the Hirzebruch class and the virtual one, can be calculated by using the Steenbrink spectra of local defining functions of the hypersurface if certain good conditions are satisfied, e.g., in...
LitStream

Chapter 10On Lusztig’s q-Analogues of All Weight Multiplicities of a Representation

Panyushev, Dmitri I.

Pages: 289 –305

[The ground field k\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}...

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