LECTURERS OF COURSES

Francesca Da Lio (ETH Zürich, Switzerland​)

Analysis of the nonlocal conformal invariant variational problems

Richard Montgomery​ (​University of California, Santa Cruz, USA)

Variational and Differential Geometric Methods in the N-body problem*

Gabriella Pinzari (University of Padova, Italy)

Perturbation theories versus canonical coordinates in celestial mechanics

Tristan Rivière (ETH Zürich, Switzerland)

Minmax Methods in the Calculus of Variations of Curves and Surfaces

LECTURERS OF COURSES

Maria Colombo (École Polytechnique Fédérale de Lausanne, Switzerland)

The ipo/hyperdissipative Navier-Stokes equations

Gérard Iooss (Université Côte d’Azur and IUF, France)

Small divisor problems in Fluid Mechanics

Yannick Sire (Johns Hopkins University, USA)

Geometric variational problems of nonlocal nature

Chongchun Zeng (Georgia Institute of Technology, USA)

Invariant manifolds in PDE dynamics

LECTURERS OF COURSES

Manuel del Pino (Universidad de Chile in Santiago)

Singularity formation and bubbling in nonlinear diffusions
 
Francesco Maggi (University of Texas at Austin)

An introduction to geometric measure theory
 
Daniel Peralta-Salas  (ICMAT Madrid)

Periodic orbits and invariant tori in ideal fluid flows

Michela Procesi (Università Toma Tre)

KAM theory for non linear partial differential equations on the circle

LECTURERS OF COURSES

​Daniela De Silva (Columbia University)

Free Boundary Problems

Viktor L. Ginzburg (University of California at Santa Cruz)

Periodic Orbits of Hamiltonian Systems: the Conley Conjecture and Beyond

Ovidiu Savin (Columbia University)

The Monge-Ampere equation

Jean Pierre Marco (Université de Paris VI – Pierre et Marie Curie)

Non Perturbative Arnold Diffusion

LECTURERS OF COURSES

​Carlangelo Liverani (Università di Roma “Tor Vergata”)

Deterministic Noise

Bassam Fayad (Institut de Mathématiques de Jussieu)

Ergodic theory of group actions on homogeneous spaces and applications to probabilistic Diophantine approximations

Felix Otto (Max-Planck-Institute for Mathematics in the Sciences, Leipzig)

Stochastic partial differential equations

Juncheng Wei (University of British Columbia, Vancouver)

An introduction to gluing methods

_______________________________________

One hour seminars by:

– Gyula Csato (Univ.)

– Peter de Maesschalck (Univ.)

LECTURERS OF COURSES

_______________________________________

LECTURERS OF COURSES

_______________________________________

LECTURERS OF COURSES

Jaques Féjoz (Univ. Paris-Dauphine)
The search for invariant tori in Hamiltonian systems and applications to celestial mechanics

Enrique Pujals(IMPA, Rio de Janeiro)
Robustly transitive dynamics

Sandro Salsa(Politecnico di Milano)
Regularity of the free boundary in problems with distributed sources

Luis Silvestre(Univ. of Chicago)
Regularity results for nonlocal equations

LECTURERS OF COURSES

M. Capinski (AGH Univ. of Science and Technology Al. Mickiewicza, Kraków, Poland)
Geometric methods for invariant manifolds in dynamical systems

M. Gidea(Northeastern Illinois Univ., Chicago, USA)
Aubry Mather Theory from a Topological Viewpoint

H. Shahgholian (Royal Inst. of Technology, Stockholm, Sweeden)
Obstacle type free boundaries (Theory and applications)

E. Valdinoci (Univ. degli Studi di Milano, Italy)
(Non) local phase transition equations

LECTURERS OF COURSES

Luis Caffarelli (Univ. of Texas Austin, USA)
Fully non linear equations I: Basic theory for local and non local elliptic equations

Lorenzo Díaz (Catholic Univ. of Rio de Janeiro)
Rich dynamics in heterodimensional cycles

Vadim Kaloshin (Univ. of Maryland)
Principle of minimal action in dynamics

Yanyan Li (Rutgers Univ., USA)
Fully non linear equations II: Applications to conformal geometry

LECTURERS OF COURSES

Massimiliano Berti (Univ. Federico II)
New connections between dynamical systems and Hamiltonian PDEs

Tim Myers (CRM, Bellaterra, Barcelona)
Mathematical modelling of phase transitions

Jean-Michel Roquejoffre (Univ. Paul Sabatier. Toulouse III)
Partial differential equations with fractional diffusion

Alfonso Sorrentino (Univ. of Cambridge)
Action-minimizing methods in Lagrangian dynamics

LECTURERS OF COURSES

Marco Antonio Teixeira (Univ. Estatual de Campinas)
Generic Bifurcations in Dynamical Systems

Juan Luis Vázquez (Univ. Autónoma de Madrid)
Asymptotic methods for non-linear diffusion equations

LECTURERS OF COURSES

Dario Bambusi (Univ. degli studi di Milano)
Normal form for hamiltonian PDEs

Rafael de la Llave (Univ. of Texas at Austin)
Introduction to the properties of extended systems

Changfeng Gui (Univ. of Connecticut)
Multi peak solutions and solutions of semilinear equations in phase transitions and a conjecture of De Giorgi

Vadim Kaloshin (Penn. State Univ. and Univ. of Maryland)
Instabilies in the 3 body problem

Regis Monneau (CERMICS-ENPC, France)
Introduction to dislocations dynamics

LECTURERS OF COURSES

Mirko Degli Esposti (Univ. di Bologna)
Mathematical aspects and prospectives of quantun chaos

Mario di Bernardo (Univ. of Naples Federico II)
Bifurcations, analysis and control of continuous-time nonsmooth and hybrid continuous-time systems

François Hamel (Univ. Aix-Marseille III)
Reaction-diffusion equations and front propagation

S. John Hogan (Univ. of Bristol)
Nonsmooth discrete dynamical systems

Hiroshi Matano (Univ. of Tokyo)
Order-preserving dynamical systems and blow-up in nonlinear heat equations

C. Eugene Wayne (Boston Univ.)
Infinite dimensional dynamical systems and the Navier-Stokes equation

LECTURERS OF COURSES

John Rinzel (Courant Inst. and Center for Neural Science, New York Univ.)
Understanding neuronal dynamics by geometrical dissection of minimal models

David Terman (Ohio State Univ.)
Neuronal Dynamics: use of dynamical systems methods to analyze models of neuronal firing patterns

LECTURERS OF COURSES

Alain Chenciner (Inst. de Mécanique Céleste, Paris)
Calculus of variations and introduction to weak KAM theory

Luigi Chierchia (Univ. degli Studi “Roma Tre”)
Quasi-periodic solutions for the three-body problem

LECTURERS OF COURSES

R. de la LLave (Univ. of Texas at Austin)
Introduction to the theory of normally hyperbolic manifolds

G. Haller (MIT)
Invariant manifolds in physical systems

LECTURERS OF COURSES

Sergey Bolotin (Univ. Wisconsin)
Variational methods in mechanical systems

Rafael de la Llave (Univ. of Texas at Austin)
Variedades invariantes normalmente hiperbólicas

Tere M-Seara (UPC)
Introducción a los sistemas dinámicos y a la teoría de perturbaciones

Rafael Ortega (UB)
Oscilaciones no lineales

David Sauzin (Institut de Mécanique Céleste, CNRS)
Asymptotic methods, complex time and resurgence in dynamical systems

Dmitry Treschev (Univ. Moscú)
Averaging in regularly perturbed ODE