Arbeitstagung Bonn 2013

1. Front Matter

   Pages i-x

   PDF

2. The Hirzebruch Signature Theorem for Conical Metrics

   • Michael Atiyah

   Pages 1-15

3. Depth and the Local Langlands Correspondence

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

   Pages 17-41

4. Guide to Elliptic Boundary Value Problems for Dirac-Type Operators

   • Christian Bär, Werner Ballmann

   Pages 43-80

5. Symplectic and Hyperkähler Implosion

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

   Pages 81-103

6. Kazhdan–Lusztig Conjectures and Shadows of Hodge Theory

   • Ben Elias, Geordie Williamson

   Pages 105-126

7. Uniform Sup-Norm Bounds on Average for Cusp Forms of Higher Weights

   • Joshua S. Friedman, Jay Jorgenson, Jürg Kramer

   Pages 127-154

8. Fivebranes and 4-Manifolds

   • Abhijit Gadde, Sergei Gukov, Pavel Putrov

   Pages 155-245

9. Higgs Bundles and Characteristic Classes

   • Nigel Hitchin

   Pages 247-264

10. Hirzebruch–Milnor Classes and Steenbrink Spectra of Certain Projective Hypersurfaces

    • Laurentiu Maxim, Morihiko Saito, Jörg Schürmann

    Pages 265-287

11. On Lusztig’s q-Analogues of All Weight Multiplicities of a Representation

    • Dmitri I. Panyushev

    Pages 289-305

12. The Triangulation of Manifolds: Topology, Gauge Theory, and History

    • Frank Quinn

    Pages 307-336

13. Elliptic Calabi–Yau Threefolds over a del Pezzo Surface

    • Simon Rose, Noriko Yui

    Pages 337-354

14. Remarks on Cohomological Hall Algebras and Their Representations

    • Yan Soibelman

    Pages 355-385

15. A Stratification on the Moduli of K3 Surfaces in Positive Characteristic

    • Gerard van der Geer

    Pages 387-403

16. The Right Adjoint of the Parabolic Induction

    • Marie-France Vignéras

    Pages 405-425

This volume contains selected papers authored by speakers and participants of the 2013 Arbeitstagung, held at the Max Planck Institute for Mathematics in Bonn, Germany, from May 22-28. The 2013 meeting (and this resulting proceedings) was dedicated to the memory of Friedrich Hirzebruch, who passed away on May 27, 2012. Hirzebruch organized the first Arbeitstagung in 1957 with a unique concept that would become its most distinctive feature: the program was not determined beforehand by the organizers, but during the meeting by all participants in an open discussion. This ensured that the talks would be on the latest developments in mathematics and that many important results were presented at the conference for the first time. Written by leading mathematicians, the papers in this volume cover various topics from algebraic geometry, topology, analysis, operator theory, and representation theory and display the breadth and depth of pure mathematics that has always been characteristic of the Arbeitstagung. 

• Algebraic Geometry
• Arbeitstagung Bonn
• Differential Geometry
• Friedrich Hirzebruch
• Operator Theory
• Representation Theory
• Topology

• Max Planck Institute for Mathematics, Bonn, Germany

  Werner Ballmann, Christian Blohmann, Gerd Faltings, Peter Teichner, Don Zagier

Policies and ethics