Diffieties, Cohomological Physics, and Other Animals: Program
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Monday, 13 December, IUM
- 9:45 - 10:00 Opening
Chairman: Joseph Krasil'shchik
- 10:00 - 10:45 Dmitri Alekseevsky - Special Vinberg cones and their application to supergravity
- 10:50 - 11:35 Giovanni Manno - Metrics admitting projective symmetries
- 11:40 - 11:55
Coffee break - 11:55 - 12:40 Vladimir Rubtsov - Lie algebroid cohomology: from Der to Lie algebroid non-abelian extensions
- 12:45 - 13:30 Francesco Oliveri - Automatic determination of optimal systems of Lie subalgebras
- 13:35 - 13:55 Michael Vinogradov - n-ary Batalin-Vilkovysky brackets
- 14:00 - 15:00
Lunch
Chairman: Oleg Morozov
- 15:00 - 15:45 Alexander Mikhailov - Quantisation of free associative dynamical systems
- 15:50 - 16:35 Theodore Voronov - On thick morphisms of (super)manifolds
- 16:40 - 16:55 Coffee break
- 16:55 - 17:40 Hovhannes Khudaverdian - Non-linear homomorphisms of algebras of functions are induced by thick morphisms
- 17:45 - 18:05 Jim Stasheff - Higher holonomy. Representations up to homotopy
- 18:30 Alexandre Vinogradov Memorial Session
Tuesday, 14 December, MSU
Chairman: Michael Vinogradov
- 10:00 - 10:45 Alexei Bocharov - Mathematics of Quantum Computing: Ideas and Reality
- 10:50 - 11:35 Giuseppe Marmo - A Manifold view point of Lie Algebras
- 11:40 - 11:55 Coffee break
- 11:55 - 12:40 Konstantin Druzhkov - On the relation between symplectic structures and variational principles in continuum mechanics
- 12:45 - 13:30 Igor Khavkine - Applications of complexes of differential operators in gauge theories
- 13:35 - 13:55 Jacob Kryczka - Generalized Atiyah-like sequences from differential operators in graded commutative algebras
- 14:00 - 15:00 Lunch
Chairman: Hovhannes Khudaverdian
- 15:00 - 15:45 Alexey Samokhin - Conservation laws in action: an approach and implementations
- 15:50 - 16:35 Luca Vitagliano - Alexandre M. Vinogradov's Cohomological Geometry of Partial Differential Equations (from my personal point of view)
- 16:40 - 16:55 Coffee break
- 16:55 - 17:40 Giorgio Tondo - Haantjes brackets and integrability
- 17:45 - 18:05 Ekaterina Shemyakova - On super Plücker embedding and cluster algebras
Wednesday, 15 December, MSU
Chairman: Igor Khavkine
- 10:00 - 10:45 Georgy Sharygin - Quasi-differential operators on universal enveloping algebras and their applications
- 10:50 - 11:35 Alexander Aksenov - Group classification and conservation laws of the system of equations of two-dimensional shallow water over uneven bottom
- 11:40 - 11:55 Coffee break
- 11:55 - 12:40 Maxim Grigoriev - Presymplectic gauge PDEs and Batalin-Vilkovisky quantization
- 12:45 - 13:30 Dimitri Gurevich - q-Analogs of differential operators and their applications
- 13:35 - 13:55 Anna Duyunova - Symmetries and differential invariants of the Navier-Stokes system on a space curve
- 14:00 - 15:00 Lunch
Chairman: Jan Slovák
- 15:00 - 15:45 Mikhail Sheftel - Recursion operators and bi-Hamiltonian representations of cubic evolutionary (2+1)-dimensional systems
- 15:50 - 16:35 Irina Bobrova - Matrix Painlevé equations
- 16:40 - 16:55 Coffee break
- 16:55 - 17:40 Dmitry Millionschikov - Lie algebras of maximal class
- 17:45 - 18:05 Sergey Tychkov - The quotient of the Navier-Stokes system on a space curve
Thursday, 16 December, IUM
Chairman: Andrey Krutov
- 10:00 - 10:45 Alexei Sossinsky - Energy functionals and the normal forms of knots and plane curves
- 10:50 - 11:35 Jan Slovák - Generalized Wünsch calculus for parabolic geometries
- 11:40 - 11:55 Coffee break
- 11:55 - 12:40 Gaetano Vilasi - Can gravity be repulsive?
- 12:45 - 13:30 Sergei Lando - Polynomial graph invariants and the KP hierarchy
- 13:35 - 13:55 Olga Kunakovskaya - Boundary topological indices of a pair of vector fields and existence theorems
- 14:00 - 15:00 Lunch
Chairman: Konstantin Druzhkov
- 15:00 - 15:45 Andrei Pogrebkov - Negative numbers of times of integrable hierarchies
- 15:50 - 16:35 Gerard Helminck - Darboux transformations of the KP hierarchy, its strict version and their reductions
- 16:40 - 16:55 Coffee break
- 16:55 - 17:40 Diego Catalano Ferraioli - Scalar differential invariants of 2-dimensional Killing foliations
- 17:45 - 18:05 Fatemeh Ahangari - Geometric analysis of metric Legendre foliated cocycles on contact manifolds via SODE structure
- 18:30
Conference Dinner
Friday, 17 December, IUM
Chairman: Alexey Samokhin
- 10:00 - 10:45 Valentin Lychagin - Continuum mechanics of media with inner structure
- 10:50 - 11:35 Sergey Agafonov - Darboux integrability for diagonal systems of hydrodynamic type
- 11:40 - 11:55 Coffee break
- 11:55 - 12:40 Vladimir Chetverikov - Coverings and integrable pseudosymmetries of differential equations
- 12:45 - 13:30 Alexey Remizov - Smooth local normal forms of hyperbolic Roussarie vector fields
- 13:35 - 13:55 Andrey Krutov - Holomorphic relative Hopf modules over the irreducible quantum flag manifolds
- 14:00 - 15:00 Lunch
Chairman: Alexander Verbovetsky
- 15:00 - 15:45 Sergei Igonin - Algebra and geometry of Lax representations and Bäcklund transformations for (1+1)-dimensional partial differential and differential-difference equations
- 15:50 - 16:35 Anatolij Prykarpatsky - On invariant differential ideals and homomorphic representations of functional derivations in differential rings
- 16:40 - 16:55 Coffee break
- 16:55 - 17:40 Yuri Sachkov - Sub-Riemannian geometry on the group of motions of the plane
- 17:45 - 18:05 Matteo Gorgone - Approximate Noether symmetries and approximate conservation laws
- 18:10 - 18:30 Alexey Podobryaev - Homogeneous geodesics in sub-Riemannian geometry
- 18:30 Closing