The program of the international conference
SECONDARY CALCULUS AND COHOMOLOGICAL PHYSICS
MONDAY, AUGUST 25
Morning session
Room 16-24
- 10.00 - 10.30 OPENING
- 10.30 - 11.20 Carlo BECCHI (Italy) BRS cohomology in topological field theory.
- 11.20 - 11.50 Coffee break
- 12.00 - 12.50 Alexandre VINOGRADOV (Italy) An introduction to secondary calculus.
Section A, room 16-24
- 13.00 - 13.20 Marco CASTRILLON (Spain) Gauge invariance on principal SU(2)-bundles.
- 13.20 - 13.40 Tatiana IVANOVA (Russia) Cech cohomology and symmetries of the self-dual Yang-Mills equations.
Section B, room 16-10
- 13.00 - 13.20 Michael VINOGRADOV (Russia) n-ary Lie algebras of Poisson type (join work with A. Vinogradov).
Evening session
Room 16-24
- 15.00 - 15.50 Robert BRYANT (USA) Conservation laws and the geometry of PDE.
- 16.00 - 16.35 Alexander POPOV (Russia) Symmetries of self-dual gravity and Kodaira-Spencer deformation theory.
- 16.35 - 17.05 Coffee break
- 17.05 - 17.55 Alberto IBORT (Spain) Equivariant Floer's cohomology.
TUESDAY, AUGUST 26
Morning session
Room 16-24
- 9.00 - 9.50 Manuel ASOREY (Spain) Topological transitions.
- 10.00 - 10.50 Alexandre VINOGRADOV (Italy) Some recent results in secondary calculus.
- 10.50 - 11.20 Coffee break
- 11.20 - 12.10 Marc HENNEAUX (Belgium) Consistent interactions between gauge fields: the cohomological approach.
Section A, room 16-24
- 12.20 - 12.40 Vladimir ANDREEV (Russia) Infinite dimensional algebras connected with matrixes integrable equations.
- 12.40 - 13.00 Soso GOGILIDZE, Arsen KHVEDELIDZE (Russia) First Integrals and Abelianization of First Class Constraints.
- 13.00 - 13.20 Michael PARINOV (Russia) One method of obtaining the first integrals of Lorentz equation.
Section B, room 16-10
- 12.20 - 12.40 Alexei DAVYDOV (Russia) On some class in the Hochshild cohomology of fusion algebras.
- 12.40 - 13.00 Vladimir Rubtsov (France) Separation of variables for Hitchin systems.
- 13.00 - 13.20 Vitaly KUSHNIREVITCH (Ukraine) Differential Structures in Leibniz Superalgebra.
Evening session
Room 16-24
- 15.00 - 15.50 Michel FLIESS (France) Control theory and infinite jets: applications and introductory theory.
- 16.00 - 16.35 Jean-Baptiste POMET (France) Geometry for dynamic feedback in
Nonlinear Control Systems.
- 16.35 - 17.05 Coffee break
- 17.05 - 17.40 Vladimir CHETVERIKOV (Russia) Symmetries of some integro-differential equations.
- 17.45 - 18.25 Paul Henri Marie KERSTEN (Netherlands) SuperWDVV-equations and solutions in (3,2) and (3,4) dimensions.
WEDNESDAY, AUGUST 27
Room 16-24
- 10.00 - 10.50 Joseph KRASIL'SHCHIK (Russia) Cohomological background for recursion operators and Poisson structures in PDE.
- 10.50 - 11.20 Coffee break
- 11.20 - 12.10 Loriano BONORA (Italy) Review of BRST in superstring theory.
Section A, room 16-24
- 12.20 - 12.40 A.G. KUDRYAVTSEV (Russia) On symmetries and conservation laws for the generalized Khokhlov-Zabolotskaya equations.
- 12.40 - 13.00 Valery YUMAGUZHIN (Russia) Conditions of reducibility of ODE's to the form $y'''= 0$.
- 13.00 - 13.20 Alexey SAMOKHIN (Russia) Symmetries of the equations containing a small parameter.
Section B, room 16-10
- 12.20 - 12.40 Michael ZELIKIN (Russia) Solution to quadratic PDE as a connection on the integral Dirichlet's bundle.
- 12.40 - 13.00 Yuri GLIKLICH (Russia) On stochastic evolution of a general relativistic quantum particle without conservation of energy.
- 13.00 - 13.20 Ol'ga KUNAKOVSKAYA (Russia) Some functors on the category of $SC^r$-manifolds.
Evening session
Room 16-24
- 15.00 - 15.50 Giuseppe MARMO (Italy) Cohomology in classical dynamics.
- 16.00 - 16.35 Michal MARVAN (Czech Republic) Direct computation of zero-curvature representations.
- 16.35 - 17.05 Coffee break
- 17.05 - 17.40 Pedro REAL JURADO (Spain) Homological Perturbation Theory and computability of the homology of commutative DGA-algebras.
(join work with Victor Alvarez, J. Andrés Armario, B. Silva)
- 17.45 - 18.20 Vladimir SOKOLOV (Russia) On integrable evolution non-abelian equations.
THURSDAY, AUGUST 28
Room 16-24
- 9.00 - 9.50 Jim STASHEFF (USA) The (secret) homological algebra of the Batalin-Vilkovisky complex.
- 10.00 - 10.50 Alex VERBOVETSKY (Russia) Horizontal (characteristic) cohomology and compatibility complex.
- 10.50 - 11.20 Coffee break
- 11.20 - 12.10 Friedemann BRANDT (Spain) Gauge covariant algebras and local BRST cohomology.
- 12.20 - 13.10 Mario RASETTI, Vittorio PENNA (Italy) Physics on non-euclidean lattices.
Evening session
FRIDAY, AUGUST 29
Room 16-24
- 9.00 - 9.50 Glenn BARNICH (Belgium) Sh Lie structure of Poisson brackets in field theory.
- 10.00 - 10.50 V. KOZLOV, S. BOLOTIN (Russia) Simmetry and topology of dynamical systems.
- 10.50 - 11.20 Coffee break
- 11.20 - 12.10 Claude VIALLET (France) On the invariants of some discrete groups.
Section A, room 16-24
- 12.20 - 12.40 Valery SHEMARULIN (Russia) A direct method for solving initial-value problems.
- 12.40 - 13.00 Vladimir SOLOVIEV (Russia) Total divergences as a grading of the formal variational calculus.
- 13.00 - 13.20 Dmitry GUREVICH (France) Differential complexes assosiated to the QYBE.
- 13.20 - 13.40 Anatolii TSIRLIN (Russia), Vladimir KAZAKOV (Australia) Averaged relaxations of extremal problems.
Section B, room 16-10
- 12.20 - 12.40 Valentin OVSIENKO (France) Exotic deformation quantization.
- 12.40 - 13.00 Igor KANATCHIKOV (Estonia) On the non-commutative Gerstenhaber algebra of the covariant Poisson brackets on forms in field theory.
- 13.00 - 13.20 Dmitry ROYTENBERG (USA) Lie Bialgebroids and Strongly Homotopy Lie Algebras (joint work with Alan Weinstein).
Evening session
Room 16-24
- 15.00 - 15.50 Nicola MAGGIORE (Italy) Algebraic renormalization of (massive) supersymmetric gauge theories.
- 16.00 - 16.35 Tom LADA (USA) SH Lie Structures of Gauge Symmetries in Higher Order Spin Theories.
- 16.35 - 17.05 Coffee break
- 17.05 - 17.40 Kenji FUKAYA (Japan) Homologycal/homotopical algebra, topological field theory, and moduli spaces.
SATURDAY, AUGUST 30
Section A, room 16-24
- 9.00 - 9.20 Nina KHOR'KOVA (Russia) On reconstruction problem for non-local symmetries.
- 9.20 - 9.40 Alexandre LAVRENOV (Belarus) Symmetry of the discrete models based on Askey-Wilson algebra.
- 9.50 - 10.00 Victor ZHARINOV (Russia) Secondary Operational Calculus.
- 10.30 - 10.50 Yuri TORKHOV (Russia) Higher differential forms and its applications.
Section B, room 16-10
- 9.00 - 9.20 Hovhannes KHUDAVERDYAN (Russia) Odd invariant semidensity and divergence-like operators on an odd symplectic superspace.
- 9.20 - 9.40 Ol'ga IVANOVA (Russia) Reduáed system of Bethe ansatz equations and geometry of the parametric surfaces.
- 9.40 - 10.00 Alexander YAKHNO (Russia) Conservaton Laws and Main Boundary Problems of Plasticity.
- 10.50 - 11.20 Coffee break
Room 16-10
- 11.20 - 11.55 Pierre LECOMTE (Belgium) Classification of modules of differential operators (join work with Mathonet (Ulg) and Ovsienko(CPT Marseille-Luminy).
- 12.05 - 12.40 Gaetano VILASI, Giuseppe MARMO, Alexandre VINOGRADOV On the local structure of n-Poisson and n-Jacobi manifolds.
- 12.45 - 13.30 CLOSURE
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