Dynamical systems

Location

Kathmandu, Nepal

Dates

25/10/2018 to 06/11/2018

Presentation

This will be a school on dynamical systems in a rather wide sense, including background results on invariant manifolds and symplectic geometry (Chaperon), weak Kolmogorov-Arnold-Moser (KAM) theory and Arnold diffusion (Cheng, Seara), weak solutions of Hamilton-Jacobi evolution equations (Cheng, Wei), small denominators and KAM theory (Eliasson, Kuksin), partial differential equations (Cheng, Eliasson, Wei, Kuksin) and ergodic theory (Cheng, Luzzatto). Complex dynamics will be represented by a mini-course and a talk by Anna Miriam Benini (Rome). There will also be daily more advanced talks.

Administrative and scientific coordinators

Shree Ram Khadka (Tribhuvan University, Nepal, shreeramkhadka@gmail.com)

Sergei Kuksin (Université Paris-Diderot, France, sergei.kuksin@imj-prg.fr)

Scientific committee

Chong-Qing Cheng (Nanjing University, China)

Qiaoling Wei (Capital Normal University, China)

Hakan Eliasson (Université Paris Diderot, France)

Sergei Kuksin (Université Paris Diderot, France)

Stefano Luzzatto (ICTP, Italy)

Scientific program

Course 1: "Variational methods for Tonelli Hamiltonians", Chong-Qing Cheng (Nanjing University, China)

Course 2: "Reducibility and almost reducibility for linear quasi-periodic co-cycles", Hakan Eliasson (Université Paris Diderot, France)

Course 3: "Introduction to Differentiable Ergodic Theory", Stefano Luzzatto (ICTP, Italy)

Course 4: "Variational and viscosity solution of the Hamilton-Jacobi equation", Qiaoling Wei (Capital Normal University, China)

Course 5: "Averaging for ODE and PDE", Sergei Kuksin (Université Paris Diderot, France)

Course 6: "Intersection between stable and unstable manifolds in Hamiltonian systems", Tere Seara (Universitat Politècnica de Catalunya, Spain)

Website of the school

http://cdmathtu.edu.np

How to participate:

For registration and application to a CIMPA financial support, follow the instructions given here.

Deadline for registration and application: June 24, 2018.