Dates: 3 to 13 june
2013
Location: Rennes
Contact: A. Debussche, M. Gradinaru
This
summer school will consist of a first week devoted mainly to two
courses by Martin Hairer on Khardar-Parisi-Zhang (KPZ) equation and
Peter Friz on rough paths
and a workshop next week dedicated to these two subjects.
Guiding principle in the first week will be to present the theory of
rough paths and recent work by Martin Hairer who managed to solve
rigorously the KPZ equation using this theory among other ones. This
result will certainly validate a number of conjectures in the physics
literature in which this equation is often seen as a universal limit.
The method developed by Martin Hairer will also allow progresses on
other very singular equations.
The second week workshop will present the most recent advances on this
topic and on the theory of rough paths that has multiple
applications.