List of abstracts

Marc Bourdon and Peter Haïssinsky: Gromov Boundaries

  1. Boundaries of hyperbolic groups:
      dynamics of the group on its boundary,
      geometry of the boundary (doubling space, LLC for connected, ...)
      extension to the boundary of QI of groups (homeomorphisms QM, QS, ...)
  2. Rigidity:
      Mostow
      Sullivan-Tukia
  3. Combinatorial modulus :
      Uniformization of metric 2-spheres,
      Combinatorial Loewner property.
Piotr Hajłasz: Analysis on metric spaces

  1. metric spaces with doubling measure,
  2. theorem of Konyagin-Volberg about existence of doubling measures,
  3. theorem of Assouad on embedding,
  4. theorem of Rademacher-Kirchheim,
  5. Sobolev spaces on metric spaces,
  6. spaces with Poincare inequalities,
  7. examples: Carnot groups, Heisenberg group, graphs, manifolds of non-positive Ricci curvature, Laakso spaces, topological manifolds...,
  8. quasiconformal and quasisymmetric mappings on metric spaces,
  9. isoperimetric inequality,
  10. theorem of Cheeger on existence of measurable differential structure,
  11. theorem of Keith-Zhong (open end property),
  12. potential theory.