Swiss Doctoral Program in Mathematics



Summer School ̉Metric GeometryÓ



25 – 30 August 2013

Les Diablerets, Switzerland



The aim of this summer school is to provide an introduction to aspects of metric geometry for doctoral students who are not experts in the field but whose research requires familiarity with the topic. In recent years, metric geometry has developed into a very active research field of interest in its own, but it is also used in a lot of other areas: Riemannian geometry, geometric group theory, complex analysis and dynamics, for example. Metric geometry also appears as a basic aspect in the study of metric measure spaces; these are of great importance in various directions of pure and applied mathematics.




Mini courses:


1.    Basics of Alexandrov geometry [abstract] (8 hours)
S. Alexander (University of Illinois at Urbana Champaign)

2.    Gromov-Hausdorff distance and applications [abstract] (4 hours)
P. Ghanaat (University of Fribourg)

3.    Gromov hyperbolic spaces [abstract] (6 hours)
V. Schroeder (University of Zurich)


Short lectures:


1.    Gromov hyperbolicity and pseudoconvexity [abstract]
Z. Balogh (University of Bern)

2.    The boundary at infinity [abstract]
A. Karlsson (University of Geneva)

3.    Sobolev spaces on metric measure spaces [abstract]
M. Troyanov (EPF Lausanne)


Here is a preliminary schedule for the week.




Practical information


á      Accommodation: H™tel les Sources, Les Diablerets

á      Cost:

o     PhD students from CUSO universities: free (shared double room, full pension); CHF 100 (single room supplement for the week).

o     Other participants: CHF 132.00 per person/night (shared double room); CHF 155.00 per person/night (single room).

á      Arrival/Departure: Sunday 25August (before dinner) – Friday 30 August (afternoon).

á      How to get there:

o     Les Diablerets

o     Swiss Railway



Registration: by e-mail to the organizers, by 15 June 2013.








á      Bruno Colbois (University of Neuchatel)

á      Stefan Wenger (University of Fribourg)





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