Local and Nonlocal Geometry of PDEs and Integrability: Program

Monday, 8 October

Chairman: Vladimir Rubtsov

9:00 - 9:45 Dmitri Alekseevsky - Shortest and straightest geodesics of an invariant sub-Riemanniasn metric on a flag manifold
9:50 - 10:35 Pavel Bibikov - Differential invariants and representations of semisimple algebraic groups
10:40 - 10:55 Coffee break
10:55 - 11:40 Valentin Lychagin - On classification of the second order differential operators and differential equations
11:45 - 12:30 Valery Yumaguzhin - Classification of 3rd-order linear differential equations
12:35 - 12:55 Aleksei Ivanov - Complex invariant Einstein metrics on flag manifolds with $T$ -root system $BC_{2}$

Chairman: Hovhannes Khudaverdian

14:00 - 14:45 Maxim Grigoriev - Gauge PDE and AKSZ sigma models
14:50 - 15:35 Alexander Verbovetsky - Nonlocal Jacobi identity: a geometric approach
15:40 - 15:55 Coffee break
15:55 - 16:40 Michal Marvan - On symmetries of the Gibbons-Tsarev equation
16:45 - 17:30 Vladimir Chetverikov - Invertible linear ordinary differential operators and their generalizations
17:35 - 17:55 Nina Khor'kova - Integrability and infinite hierarchies of symmetries or conservation laws

Chairman: Gerard Helminck

9:00 - 9:45 Maciej Dunajski - Solitons on Wormholes
9:50 - 10:35 Sergey Agafonov - Hexagonal geodesic 3-webs
10:40 - 10:55 Coffee break
10:55 - 11:40 Maxim Pavlov - Integrability of the Gibbons-Tsarev system
11:45 - 12:30 Matteo Casati - A Darboux-Getzler theorem for scalar difference Hamiltonian operators
12:35 - 12:55 Petr Vojčák - Coverings and nonlocal symmetries of Lax-integrable PDEs

Chairman: Michal Marvan

14:00 - 14:45 Andrey Mironov - Integrable magnetic geodesic flows on 2-torus
14:50 - 15:35 Alexey Samokhin - Nonlinear waves in layered media: solutions of the KdV-Burgers equation
15:40 - 15:55 Coffee break
15:55 - 16:40 Giorgio Tondo - Beyond recursion operators: Haantjes algebras
16:45 - 17:30 Jan Slovák - Traces of Tractor Calculus in Sub-Riemannian Geometry
17:35 - 17:55 Jakub Vašíček - Symmetries and conservation laws for a generalization of Kawahara equation

Chairman: Igor Khavkine

9:00 - 9:45 Boris Kruglikov - Integrability via Geometry
9:50 - 10:35 Yvette Kosmann-Schwarzbach - Brackets and torsions
10:40 - 10:55 Coffee break
10:55 - 11:40 Raffaele Vitolo - Projective-geometric aspects of WDVV equations
11:45 - 12:05 Michael Roop - Thermodynamics of submerged jets: exact solutions of the Navier-Stokes equations

Chairman: Boris Kruglikov

9:00 - 9:45 Andrei Marshakov - $q$ -difference Painleve equations: symmetries and solutions
9:50 - 10:35 Luigi Martina - Symmetries of asymptotically flat spaces and gravitational memory effect
10:40 - 10:55 Coffee break
10:55 - 11:40 Igor Khavkine - Compatibility complexes for the Killing equation
11:45 - 12:30 Hovhannes Khudaverdian - Homotopy Poisson brackets and thick morphisms
12:35 - 12:55 Stanislav Opanasenko - Generalized symmetries and conservation laws of (1+1)-dimensional Klein-Gordon equation

Chairman: Maxim Pavlov

14:00 - 14:45 Gerard Helminck - A construction of solutions of the strict n-component KP-hierarchy
14:50 - 15:35 Folkert Müller-Hoissen - Tropical limit of soliton solutions, Yang-Baxter maps and beyond
15:40 - 15:55 Coffee break
15:55 - 16:40 Francesco Oliveri - Lie remarkable systems of PDEs characterized by affine and projective transformations
16:45 - 17:30 Ugo Bruzzo - Cohomology of Lie algebroids on schemes and applications
19:30 Conference Dinner

Chairman: Andrey Mironov

9:00 - 9:45 Alexei Kushner - Anizotropic multi-phase filtration: geometrical approach
9:50 - 10:10 Matteo Gorgone - Approximate Conditional Symmetries of PDEs
10:10 Closing