Workshop on Mapping Surgery to Analysis

The University of Copenhagen

February 22 - 27, 2010

Organizer: Otgonbayar Uuye, Centre for Symmetry and Deformation

Speakers:

  • Nigel Higson, Penn State
  • Jerome Kaminker, UC Davis, Homotopy Invariance of Higher Signatures
  • Ib Madsen , Copenhagen
  • Hervé Oyono-Oyono, Blaise Pascal
  • Paolo Piazza, Rome
  • John Roe, Penn State
  • Thomas Schick, Göttingen

Additional Participants:

  • David Kyed, Göttingen
  • Siegfried Echterhoff, Münster
  • Lin Shan, Münster
  • Fabian Lenhardt, Düsseldorf
  • Reagan Lohandjola L'okaso, Kinshasa
  • Paul Siegel, PSU
  • Eduard Ortega, Copenhagen
  • Chen Yang, Durham
  • Thomas Hjortgaard Danielsen, Copenhagen
  • Jenny Santoso, Stuttgart
  • Sara Azzali, Göttingen
  • Tibor Macko, Münster
  • Wolfgang Steimle, Münster
  • Jan Spakula, Münster
  • Pascal Fabig, Münster
  • Philipp Kühl, Münster
  • Alan Carey, ANU
  • Alexander Gorokhovsky, Colorado
  • Paul Bressler, MPIM-Bonn
  • Jens Kaad, ANU
  • Johannes Niediek, Bonn
  • Indrava Roy, Metz Paul-Verlaine
  • Hannes Thiel, Copenhagen
  • Heiko Gimperlein, Hannover
  • Takeshi Katsura, Keio
  • Alexander Kahle, Göttingen
  • Erik Christensen, Copenhagen
  • Stella Anevski, Copenhagen
  • Toshikazu Natsume, Nagoya
  • Sara Arklint, Copenhagen
  • Cyril Levi, Copenhagen
  • Tatiana Shulman, Copenhagen
  • Tarje Bargheer, Copenhagen
  • Antonio Diaz Ramos, Copenhagen
  • Emanuele Dotto, Copenhagen
  • Henrik Densing Petersen, Copenhagen
  • Alexander Berglund, Copenhagen
  • Mikael Rørdam, Copenhagen
  • Nathalie Wahl, Copenhagen
  • Samik Basu, Copenhagen
  • Ryszard Nest, Copenhagen
  • Daniel Pape, Göttingen
  • Maria Ramirez-Solano, Copenhagen
  • Adam Sørensen, Copenhagen

Program:

$K$-theory has been very successful in attacking surgery theoretic problems. Higson and Roe proposed, in a series of papers, a commutative diagram that summarized many of these developments. The goal of the mini-workshop is to understand these papers and related issues better.

There will be two expository lectures in the morning and one research talk in the afternoon. Here is a link to the PROGRAM and TITLE & ABSTRACT of the talks.

Bibliography:

(copied shamelessly from http://www.uni-math.gwdg.de/schick/teach/SurgeryToAnalysisHigsonRoeSem.html)

  • (HR1) Higson and Roe, Mapping surgery to analysis I
  • (HR2) Higson and Roe, Mapping surgery to analysis II
  • (HR3) Higson and Roe, Mapping surgery to analysis III
  • (HS) Hilsum and Skandalis, Invariance par homotopie de la signature a coefficients dans un fibre presque plat
  • (KL) Kreck and Lück, The Novikov conjecture: Geometry and Algebra, Birkhäuser
  • (L) Lück, A basic introduction to surgery theory
  • (La) Lance, Hilbert C*-modules, LMS
  • (PS) Piazza and Schick, Bordism, Rho-invariants and the Baum-Connes conjecture
  • (R) Ranicki, Algebraic and geometric surgery, Oxford University Press
  • (W) Wall, Surgery on compact manifolds