Description |
The Abdus Salam International Centre for Theoretical Physics (ICTP) is organizing this School and Workshop above, to take place at the ICTP from 22 May to 2 June 2017.
The study of partial differential equation with nonlocal features is an extremely active area of research in analysis, with strong ties to other parts of mathematics, like differential geometry and probability theory, and with motivations in the most diverse scientific contexts: kinetic theory, fluid dynamics, quantum mechanics, materials science, biology etc. The goal of the proposed activity is bringing together leading mathematicians working on different aspects of nonlocal PDEs in order to disseminate the state of the art on the subject through a mix of courses and talks. The activities will include: • courses by: Laurent Desvillettes (Université Paris Diderot), Yanyan Li (Rutgers University), Michael Loss (Georgia Tech), Enrico Valdinoci (University Melbourne); • short courses by: Josè Carrillo (Imperial College London), Alessio Figalli (ETH Zürich), Daniela Tonon (CEREMADE-U Paris-Dauphine) • regular talks by: Anton Arnold (TU Wien), Xavier Cabre (ICREA and UP Catalunya), Irene Gamba (University of Texas at Austin), Maxime Hauray (Université d'Aix-Marseille), Mikaela Iacobelli (University Cambridge), Jan Maas (IST Austria), Giuseppe Mingione (Università Parma), Stéphane Mischler (CNRS-U Paris-Dauphine), Yannick Sire (Johns Hopkins University), Giuseppe Toscani (Università Pavia), Alexis Vasseur (University of Texas at Austin), Juan Luis Vazquez (Universidad Autónoma de Madrid). Topics: Kinetic theory, Boltzmann and Landau equations, conformally invariant elliptic PDE, fractional diffusion and fractional minimal surfaces, symmetry and symmetry breaking in variational problems. GRANTS: A limited number of grants are available to support the travel and living expenses of selected participants, with priority given to participants working in a developing country and who are at the early stages of their career. Co-sponsored by the NSF-RNMS (Ki-Net) at University of Texas at Austin MIUR SIR-grant “Geometric Variational Problems’ (RBSI14RVEZ) ________________________________________________________________________________ |
Advanced School & Workshop on Nonlocal Partial Differential Equations and Applications to Geometry, Physics and Probability | (smr 3118)
Go to day
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08:30 - 16:30
Monday, 22 May 2017
Location: Leonardo Building - Budinich Lecture Hall -
08:30
Registration and administrative formalities
1h30'
(
Leonardo Building - Lobby
)
Registration ONLY for participants NOT staying in the ICTP Guest Houses and all Organizers and speakers. Please note: subsidized participants should go to the Operations Office - Fermi Bldg.: Monday, Tuesday, Friday 8:30 - 12:00 and 13:30 - 14:30. UNICREDIT Bank branch - Fermi Bldg. is open only on Mondays and Fridays 8:20 - 13:20 and 14:30 - 16:00
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10:00
Opening remarks
15'
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10:15
Collisions in plasmas: The Landau equation - I
1h0'
Speaker: Desvillettes, L. (Université Paris Diderot) Material: Abstract Slides Video -
11:15
Second order conformally invariant elliptic equations - I
1h0'
Speaker: Li Yanyan (Rutgers University, Piscataway) Material: Abstract Slides Video - 12:15 Lunch Break 1h45'
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14:00
Quantization of measures: A gradient flow approach
1h0'
Speaker: Iacobelli, M. (University of Cambridge) Material: Abstract Slides Video - 15:00 Coffee break 30' ( Leonardo Building - Lobby )
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15:30
Entropy method for hypocoercive BGK and Fokker-Planck equations
1h0'
Speaker: Arnold, A. (Technische Universität Wien) Material: Abstract Notes - I Notes - II Slides Video
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08:30
Registration and administrative formalities
1h30'
(
Leonardo Building - Lobby
)
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08:30 - 16:30
Monday, 22 May 2017
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09:30 - 16:30
Tuesday, 23 May 2017
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09:30
Second order conformally invariant elliptic equations - II
1h0'
Speaker: Li Yanyan (Rutgers University, Piscataway) Material: Slides Video - 10:30 Coffee break 30' ( Leonardo Building - Lobby )
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11:00
Collisions in plasmas: The Landau equation - II
1h0'
Speaker: Desvillettes, L. (Université Paris Diderot) Material: Video - 12:00 Lunch Break 2h0'
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14:00
Regularity of the Boltzmann equation in bounded domains - I
1h0'
Speaker: Tonon, D. (Université Paris Dauphine – CEREMADE, Paris) Material: Abstract Slides Video - 15:00 Coffee break 30' ( Leonardo Building - Lobby )
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15:30
Regularity of the Boltzmann equation in bounded domains - II
1h0'
Speaker: Tonon, D. (Université Paris Dauphine – CEREMADE, Paris) Material: Video
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09:30
Second order conformally invariant elliptic equations - II
1h0'
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09:30 - 16:30
Tuesday, 23 May 2017
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09:30 - 18:00
Wednesday, 24 May 2017
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09:30
Collisions in plasmas: The Landau equation - III
1h0'
Speaker: Desvillettes, L. (Université Paris Diderot) Material: Video - 10:30 Coffee break 30' ( Leonardo Building - Lobby )
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11:00
Second order conformally invariant elliptic equations - III
1h0'
Speaker: Li Yanyan (Rutgers University, Piscataway) Material: Slides Video - 12:00 Lunch Break 1h30'
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13:30
Information theoretic inequalities for stable densities
1h0'
Speaker: Toscani, G. (Università di Pavia) Material: Abstract Slides Video - 14:30 Coffee break 30' ( Leonardo Building - Lobby )
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15:00
Propagation of chaos for the 3D homogenous Landau equation with moderalty soft potential
1h0'
Speaker: Hauray, M. (Université d-Aix-Marseille) Material: Abstract Video -
16:30
ICTP Colloquium: Nonlinear problems in nonlocal diffusion processes
1h30'
Speaker: Caffarelli, L. (The University of Texas at Austin) Material: Poster Slides Video
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09:30
Collisions in plasmas: The Landau equation - III
1h0'
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09:30 - 18:00
Wednesday, 24 May 2017
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09:30 - 16:30
Thursday, 25 May 2017
Location: Leonardo Building - Budinich Lecture Hall -
09:30
Second order conformally invariant elliptic equations - IV
1h0'
Speaker: Li Yanyan (Rutgers University, Piscataway) Material: Slides Video - 10:30 Coffee break 30' ( Leonardo Building - Lobby )
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11:00
Collisions in plasmas: The Landau equation - IV
1h0'
Speaker: Desvillettes, L. (Université Paris Diderot) Material: Video - 12:00 Lunch Break 2h0'
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14:00
Construction of weak solutions for the Landau equation by approximations of solutions to the Boltzmann equation in a grazing collision limit.
1h0'
Speaker: Gamba, I. (The University of Texas at Austin) Material: Abstract Video - 15:00 Coffee break 30' ( Leonardo Building - Lobby )
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15:30
Collisions in plasmas: The Landau equation - V
1h0'
Speaker: Desvillettes, L. (Université Paris Diderot) Material: Video
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09:30
Second order conformally invariant elliptic equations - IV
1h0'
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09:30 - 16:30
Thursday, 25 May 2017
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09:30 - 14:30
Friday, 26 May 2017
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09:30
Gradient flow structures and functional inequalities for quantum evolution equations with detailed balance
1h0'
Speaker: Maas, J. (Institute of Science and Technology Austria) Material: Abstract Video - 10:30 Coffee break 30' ( Leonardo Building - Lobby )
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11:00
Second order conformally invariant elliptic equations - V
1h0'
Speaker: Li Yanyan (Rutgers University, Piscataway) Material: Slides Video - 12:00 Lunch Break 1h30'
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13:30
Global regularity of solutions to the 4-species quadratic diffusion-reaction system in any space dimension
1h0'
Speaker: Vasseur, A. (The University of Texas at Austin) Material: Abstract Video
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09:30
Gradient flow structures and functional inequalities for quantum evolution equations with detailed balance
1h0'
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09:30 - 14:30
Friday, 26 May 2017
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09:30 - 16:30
Monday, 29 May 2017
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09:30
Nonlocal equations under different perspectives - I
1h0'
Speaker: Valdinoci, E. (University of Melbourne) Material: Abstract Video - 10:30 Coffee break 30' ( Leonardo Building - Lobby )
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11:00
Entropy and the Kac master equation - I
1h0'
Speaker: Loss, M. (Georgia Institute of Technology, Atlanta) Material: Abstract Slides Video - 12:00 Lunch Break 2h0'
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14:00
Nonlinear fractional parabolic equations in bounded domains
1h0'
Speaker: Vazquez, J.L. (Universidad Autonoma de Madrid) Material: Abstract Slides Video - 15:00 Coffee break 30' ( Leonardo Building - Lobby )
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15:30
Nonlocal equations under different perspectives - II
1h0'
Speaker: Valdinoci, E. (University of Melbourne) Material: Video
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09:30
Nonlocal equations under different perspectives - I
1h0'
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09:30 - 16:30
Monday, 29 May 2017
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09:30 - 17:30
Tuesday, 30 May 2017
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09:30
Entropy and the Kac master equation - II
1h0'
Speaker: Loss, M. (Georgia Institute of Technology, Atlanta) Material: Video - 10:30 Coffee break 30' ( Leonardo Building - Lobby )
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11:00
Curves and surfaces with constant nonlocal mean curvature
1h0'
Speaker: Cabré, X. (Universitat Politecnica de Catalunya, Barcelona) Material: Abstract Slides Video - 12:00 Lunch Break 2h0'
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14:00
Nonlinear aggregation-diffusions in the diffusion-dominated and fair-competitions regimes - I
1h0'
Speaker: Carrillo, J. (Imperial College London) Material: Abstract Video - 15:00 Coffee break 30' ( Leonardo Building - Lobby )
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15:30
Nonlinear aggregation-diffusions in the diffusion-dominated and fair-competitions regimes - II
1h0'
Speaker: Carrillo, J. (Imperial College London) Material: Video
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09:30
Entropy and the Kac master equation - II
1h0'
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09:30 - 17:30
Tuesday, 30 May 2017
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09:30 - 21:00
Wednesday, 31 May 2017
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09:30
Nonlocal equations under different perspectives - III
1h0'
Speaker: Valdinoci, E. (University of Melbourne) Material: Video - 10:30 Coffee break 30' ( Leonardo Building - Lobby )
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11:00
Entropy and the Kac master equation - III
1h0'
Speaker: Loss, M. (Georgia Institute of Technology, Atlanta) Material: Video - 12:00 Lunch Break 2h0'
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14:00
Fractional Poincare inequalities on manifolds with finite total Q-curvature
1h0'
Speaker: Sire, Y. (John Hopkins University, Baltimore) Material: Abstract Video - 15:00 Coffee break 30' ( Leonardo Building - Lobby )
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15:30
Nonlinear tools in the fractional setting
1h0'
Speaker: Mingione, G. (Università degli Studi di Parma) Material: Abstract Slides Video -
19:00
Reception
2h0'
(
Adriatico Guest House - Cafeteria
)
RECEPTION
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09:30
Nonlocal equations under different perspectives - III
1h0'
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09:30 - 21:00
Wednesday, 31 May 2017
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09:30 - 15:00
Thursday, 1 June 2017
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09:30
Nonlocal equations under different perspectives - IV
1h0'
Speaker: Valdinoci, E. (University of Melbourne) Material: Video - 10:30 Coffee break 30' ( Leonardo Building - Lobby )
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11:00
Entropy and the Kac master equation - IV
1h0'
Speaker: Loss, M. (Georgia Institute of Technology, Atlanta) Material: Video - 12:00 Lunch Break 2h0'
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14:00
Villani’s program on constructive rate of convergence to the equilibrium: Part II – Hypocoercivity estimates
1h0'
Speaker: Mischler, S. (Université Paris-Dauphine, CEREMADE) Material: Abstract Slides Video
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09:30
Nonlocal equations under different perspectives - IV
1h0'
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09:30 - 15:00
Thursday, 1 June 2017
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09:30 - 16:00
Friday, 2 June 2017
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09:30
Entropy and the Kac master equation - V
1h0'
Speaker: Loss, M. (Georgia Institute of Technology, Atlanta) Material: Slides Video - 10:30 Coffee break 30' ( Leonardo Building - Lobby )
-
11:00
Nonlocal equations under different perspectives - V
1h0'
Speaker: Valdinoci, E. (University of Melbourne) Material: Video - 12:00 Lunch Break 1h30'
-
13:30
The De Giorgi conjecture for the half-Laplacian in dimension 4 - I
1h0'
Speaker: Figalli, A. (ETH Zürich) Material: Abstract Video - 14:30 Coffee break 30' ( Leonardo Building - Lobby )
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15:00
The De Giorgi conjecture for the half-Laplacian in dimension 4 - II
1h0'
Speaker: Figalli, A. (ETH Zürich) Material: Video
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09:30
Entropy and the Kac master equation - V
1h0'
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09:30 - 16:00
Friday, 2 June 2017