Fields- Conference on the Legacy of Vladimir Arnold

  1. Title:
    Cohomology of Lie algebra of Hamiltonian vector fields: experimental data, conjectures, and theorems

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  2. Title:
    Rotation numbers and moduli of elliptic curves

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  3. Title:
    Zeldovich-Arnold's theory of the cosmic web

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  4. Title:
    On Arnold diffusion for convex Hamiltonians

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  5. Title:
    Lie groupoids for space robots

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  6. Title:
    A family of solutions to the Arnold's problem on the non-degenerate integrability

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  7. Title:
    From linearization to rigidity theory

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  8. Title:
    Partial duality of hypermaps

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  9. Title:
    Local invariants of maps between 3-manifolds

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  10. Title:
    Kirwan surjectivity for hyperkähler manifolds (a corrected version of the slides is available by clicking the "slides" link)

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  11. Title:
    Relaxation under topological constraints and the breaking of these constraints

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  12. Title:
    Linear ODEs from an algebraic point of view

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  13. Title:
    The Morse-Littauer theorem in hydrodynamics

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  14. Title:
    Algebro-geometric approach to the Schlesinger equations and the Poncelet polygons

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  15. Title:
    Vortex filament dynamics

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  16. Title:
    Story of the Gömböc

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  17. Title:
    On Maps, Machines and Roaches (a few minutes lost from middle of lecture due to technical difficulties)

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  18. Title:
    Poisson homology, D-modules on Poisson varieties, and complex singularities

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  19. Title:
    The Gömböc and the evolution of pebble shapes

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  20. Title:
    Oscillating integrals in the mirror K-theory

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