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Institut für Numerische und Angewandte Mathematik (NAM)
 
 
Institut für Mathematische Stochastik (IMS)
 
 
Zentrum für Informatik (ZfI)
 
 
Zentrum für Statistik (ZfS)
 
    
Göttingen Conference on Coarse Geometry 2006, October 17th - 19th
 

    What is Coarse Geometry? And what is this Conference?

    Coarse Geometry deals with the large-scale structures of geometric objects, like the asymptotic behaviour of metric spaces or groups. E.g., for a coarse geometer, the real numbers and the integers are similar (coarsely equivalent), whereas their topological structures are quite different. It is possible to abstract these structures and fit them into an axiomatic ansatz, which again allows to define cohomology theories and more general notions of dimension.

    This conference is meant as an appendix to the "Young Topologists and new topology 2006" conference. It will take place at the Mathematisches Institut of the Georg-August-University in Göttingen.

    The GCCG is supported by the Graduiertenkolleg "Gruppen und Geometrie" of the Mathematical Institute in Göttingen.

    Format and Schedule

    Each talk will consist of two parts: A short overview of half an hour, and a second one that lasts one hour and may go into details, these two parts being separated by a break. After the second part there will be lots of time for questions, remarks and detailed discussions.

    The first part of the talk should be understandable without further knowledge of coarse geometry, the use of motivations and examples is encouraged. The second part may be deeper, faster and more detailed.

     

    Preliminary Schedule
    time Tuesday, Oct 17 Hörsaal 2 Wednesday, Oct 18 Hörsaal 2 time Thursday, Oct 19 Hörsaal 5
    09:00 - 09:30 B. Norouzizadeh K. Haltiner 09:00 - 09:30 A. Lochmann
    Coffee     Coffee  
    10:00 - 11:00 B. Norouzizadeh K. Haltiner 10:00 - 11:00 A. Lochmann
    Lunch     Lunch  
    14:00 - 14:30 empty! B. Grave 13:00 - 14:00 P. Mitchener
    Coffee     Break  
    15:00 - 16:00 empty! B. Grave 14:15-14:45 T. Elsner
          Coffee  
          15:15 - 16:15 T. Elsner

    Literature

  • B. Grave, Asymptotic dimension of coarse spaces, New York Journal of Mathematics, volume 12 (2006), pages 1-8, available as pdf at http://www.uni-math.gwdg.de/bgr/veroeffentl/asdim.pdf, 2004
  • J. Roe, Lectures on Coarse Geometry, University Lecture Series, Vol. 31, American Mathematical Society, Providence, Rhode Island, 2003
  • M. Gromov et.al., Metric Structures for Riemannian and Non-Riemannian Spaces, Progress in Mathematics 152, Birkhäuser, 1999
  • J. Dydak and C. S. Hoffland, An alternative definition of coarse structures, arXiv:math.MG/0605562, 2006.

    • Furthermore might be interesting:

  • M. Gromov, Asymptotic Invariants of Infinite Groups, in Geometric Group Theory, (G.A. Niblo und M.A. Roller, eds.), London Math. Soc. Lecture Notes Series 182 Vol. 2, Cambridge University Press, 1993
  • B. Grave, Dissertation (pdf), Coarse geometry and asymptotic dimension, Mathematica Gottingensis 01/2006
  • P.D. Mitchener, Coarse homology theories, Algebraic & Geometric Topology 1 (2001) 271-297 and Addendum to "Coarse homology theories", Algebraic & Geometric Topology 3 (2003) 1089-1101, see also his homepage
  • A. Lochmann, Diploma Thesis (pdf), Renormierungskonzepte und Kontinuumslimes auf Netzwerken und anderen diskreten Strukturen
  • G. Bell and A. Dranishnikov, Asymptotic Dimension in Bedlewo, arXiv:math.GR/0507570, 2005
  • M.R. Bridson and A. Haefliger, Metric Spaces of Non-Positive Curvature, Grundlehren der mathematischen Wissenschaft 319, Springer Verlag, Berlin, 1999
  • S. Buyalo and V. Schroeder, Elements of Asymptotic Geometry, to appear
  • J. Roe, Index Theory, Coarse Geometry, and Topology of Manifolds, CBMS Regional Conference Series in Mathematics, no. 90, AMS Providence RI, 1995
  • N. Higson and J. Roe, The Baum-Connes conjecture in coarse geometry, In S. Ferry, A. Rancki, and J. Rosenberg, editors, Proceeding of the 1993 Oberwolfach conference on the Novikov conjecture, volume 227 of LMS Lecture Notes, pages 227-554, 1995
  • A. Dranishnikov, Asymptotic Geometry (translation), Russian Math. Surveys 55 (2000), no. 6, pages 1085-1129 (also somewhere on arxiv)
  • N. Wright, The coarse Baum-Connes conjecture via C0 coarse geometry, Journal of Functional Analysis 220 (2005), no.2, 265-303

Pictures from the Conference

Thanks to all!

 
 
Mathematische Fakultät