Ascona 2012

Program of "Nonlinear Hamiltonian PDEs", Ascona, July 1 – July 6, 2012

Monday
9:00-10:00 Frank Merle, "Global dynamics of focusing nonlinear wave equations" (survey lecture)
10:00-10:30 coffee break
10:30-11:20 Walter Craig, "Vortex filament interactions and Hamiltonian PDEs"
11:30-12:20 Jeremie Szeftel, "The bounded L2 curvature conjecture in general relativity"
12:30 lunch
15:30-16:00 coffee break
16:00-16:50 Galina Perelman, "Blow up at infinity for the energy critical NLS "
17:00-17:50 Herbert Koch, "The Miura map and the KdV equation at H^{-1}"
18:45 dinner
20:15-20:30 Birgit Schoerkhuber, "Stable self-similar blow up for semilinear wave equation"
20:35-20:50 Huang Guan, "An averaging theorem for perturbed KdV equation"
20:55-20:10 Aynur Buluth, "The defocusing cubic energy-supercritical nonlinear wave equation"
 
Tuesday
9:00-10:00 Hakan Eliasson, "KAM type theorems for nonlinear Hamiltonian PDEs" (survey lecture)
10:00-10:30 coffee break
10:30-11:20 Jalal Shatah, "Space time resonance analysis and global existence of capillary waves"
11:30-12:20 Erwan Faou, "Existence and stability of ground states for fully discrete approximations of the nonlinear Schroedinger equation"
12:30 lunch
15:30-16:00 coffee break
16:00-16:50 Michela Procesi, "Quasi-periodic solutions for the resonant NLS equation on the torus"
17:00-17:50 Benjamin Dodson, "Concentration compactness for the $L_2$-critical nonlinear Schoedinger equation"
18:45 dinner
20:15-20:30 Roland Donninger, "Nonscattering solutions and infinite-time blowup for the critical wave equation"
20:35-20:50 Claire Chavaudret, "Reducibility and almost reducibility of quasi-periodic cocycles"
20:55-21:10 Paul Smith, "Low regularity local wellposedness of Chern-Simons-Schroedinger"
 
Wednesday
9:00-10:00 Daniel Tataru, "Local and global wellposedness theory of nonlinear dispersive equations" (survey lecture)
10:00-10:30 coffee break
10:30-11:20 Percy Deift, "Long-time behavior of solutions of the Initial/Boundary Value Problem for the one-dimensional focusing NLS equation on a half-line {x>0} with Robin boundary conditions at the origin x=0"
11:30-12:20 Yvan Martel, "Blow up and near soliton dynamics for the mass critical (gKdV) equation"
12:30 lunch
14:00 excursion Valle Verzasca
 
Thursday
9:00-10:00 Massimiliano Berti, "Existence of quasi-periodic solutions for nonlinear evolution equations via the theorem of Nash-Moser" (survey lecture)
10:00-10:30 coffee break
10:30-11:20 Jean-Marc Delort, "Quasi-linear perturbations of Hamiltonian Klein-Gordon equations on spheres"
11:30-12:20 Kenji Nakanishi, "Global dynamics of the 3D Zakharov system"
12:30 lunch
15:30-16:20 Sergei Kuksin, "Around the Cauchy-Kowalewski and Ovsyannikov-Nirenberg theorems"
16:20-16:50 coffee break
16:50-17:40 Maciej Zworski, "Quantitative analysis of normally hyperbolic trapping"
17:50-18:40 Vadim Kaloshin, "Arnold diffusion via invariant cylinders and Mather variational method"
18:45 dinner
20:15-20:30 Marcel Guardia, "Growth of Sobolev norms for the cubic defocusing nonlinear Schrodinger equation"
20:35-20:50 Alberto Maiocchi, "Exponentially long stability times for a nonlinear lattice in the thermodynamical limit"
20:55-21:10 Fabio Pusateri, "Scattering for the 3d Zakharov system“
 
Friday
9:00-10:00 Sergiu Klainerman, "Classical field theory and nonlinear wave equations: the past 20 years" (survey lectue)
10:00-10:30 coffee break
10:30-11:20 Jiangong You, "Quasi-periodic breathers for one-dimensional nonlinear lattice Schrödinger equations with real analytic potential"
11:30-12:20 Patrick Gérard, "A general formula for the cubic Szegö equation and applications"
12:30 lunch