Nice Weak KAM Methods in Nice

This is the first international conference sponsorized by the French National Research Agency (ANR) through the project "Hamilton-Jacobi et théorie KAM faible". Its aim is to bring together people working in different fields of mathematics which have a common feature with the so-called weak KAM theory.

The conference will take place at the "Château de Valrose" in the University of Nice-Sophia Antipolis (France). Talks will starts on the morning of Monday 2nd of February and will end by lunch time on Saturday 7th of February.

Programme

You can click on the lectures titles below to view the corresponding abstract.

V. Bangert (Universität Freiburg, Germany) Minimal geodesics and insecurity of surfaces
U. Bessi (Università Roma 3, Italy) Codimension 1 Fathi-Siconolfi theorem
S. Bolotin (University of Wisconsin, USA) Skew products of nearly integrable symplectic maps
B. Buffoni (Ecole Polytechnique Fédérale de Lausanne, Switzerland) Penalization methods for quasi-linear variational problems and applications to Hamiltonian systems
C.-Q. Cheng (Nanjing University, China) Examples of diffusion orbits in a priori stable systems with 3 degrees of freedom
G. Contreras (CIMAT, Mexico) Existence of periodic orbits for convex Lagrangians
R. De la Llave (University of Texas at Austin, USA) Circles on the verge of analyticity breakdown
L. Evans (University of California at Berkeley, USA) Further PDE methods for Weak KAM Theory
M. Falcone (Università di Roma La Sapienza, Italy) Two approximations methods for the effective Hamiltonian
W. Gangbo (Georgia Institute of Technology, USA) A Weak KAM theorem for the nonlinear Vlasov equation
D. Gomes (Instituto Superior Técnico di Lisboa, Portugal) The Mather problem for stationary Lagrangians
R. Iturriaga (CIMAT, Mexico) Weak KAM solutions in a minimax framework
O. Jenkinson (University of London, UK) Ergodic Optimization and Weak KAM theory
V. Kaloshin (University of Maryland, USA) Polynomial energy transfer for lattice models with a finite range interaction
K. Khanin (University of Toronto, Canada) On dynamics on the schock manifolds
A. Lopes (Universidade Federal do Rio Grande do Sul, Brazil) The dual potential, the involution kernel and transport in ergodic optimization
R. MacKay (University of Warwick, UK) Optimal scheduling and MDH equilibria
E. Maderna (Universidad de la República, Uruguay) On the dynamics of free time minimizers of the Newtonian N body problem
J. Mather (Princeton University, USA) Mechanical Systems on the 2-Torus : Extension of Results of Dias Carneiro and Applications to Arnold Diffusion in Two and a Half and Three Degrees of Freedom
R. McCann (University of Toronto, Canada) Extremal doubly stochastic measures and optimal transportation
G. Paternain (University of Cambridge, UK) Symplectic topology of Mañé's critical values
R. Ruggiero (Pontificia Universidade Católica do Rio de Janeiro, Brazil) Large deviations and Mather measures for expansive, nonhyperbolic geodesic flows
A. Siconolfi (Università di Roma La Sapienza, Italy) Qualitative analysis of critical stationary ergodic Hamilton-Jacobi equations
A. Sobolevskii (Independent University of Moscow, Russia) Efficient optimal transport on the circle
P. Souganidis (University of Chicago, USA) Random homogeneization
E. Valdinoci (Università di Roma Tor Vergata, Italy) Quasiperiodic and flat interfaces for the Allen-Cahn equation
G. Wolansky (Technion-Israel Institute of Technology, Israel) Some new links between the Weak KAM theory and Monge problem

Schedule

	Monday 2nd February	Tuesday 3rd February	Wednesday 4th February	Thursday 5th February	Friday 6th February	Saturday 7th February
9:30-10:15	WELCOME	McCann	Bangert	Kaloshin	Maderna	Ruggiero
10:15-11:00	WELCOME	Coffee	Coffee	Coffee	Coffee	Coffee
11:00- 11:45	Mather	Sobolevskii	Contreras	Bessi	Jenkinson	Gomes
11:45-12:30	Bolotin	Wolansky	Paternain	MacKay	Valdinoci	Siconolfi
12:30-14:00	Welcome Buffet	Lunch	Buffet	Lunch	Lunch	Buffet
14:30-15:15	De la Llave	Lopes		Falcone	Khanin	END OF CONFERENCE
15:15-16:00	Cheng	Gangbo		Iturriaga	Buffoni
16:00-16:30	Coffee	Coffee		Coffee	Coffee
16:30-17:00	Souganidis	Mitake (30mn. talk)		Evans	Pageault (30mn. talk)
17:00-17:15	Souganidis	Gigli (30 mn. talk)		Evans
17:15-17:45	Sorrentino (30mn. talk)	Gigli (30 mn. talk)		Zavidovique (30mn. talk)
				SOCIAL DINNER

Click here to download a schedule in PDF format.

Registration

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List of Participants

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Accomodation

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Practical Informations

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Scientific Committe

M.-C. Arnaud (Université d'Avignon)
P. Bernard (Université Paris-Dauphine)
A. Fathi (Ecole Normale Supérieure de Lyon)
J.-M. Roquejoffre (Université de Toulouse III)
Ph. Thieullen (Université de Bordeaux 1)

Organizing Committee

D. Massart (Université Montpellier 2)
L. Rifford (Université de Nice-Sophia Antipolis)
Ch. Teissedre (Université de Nice-Sophia Antipolis)