International Workshop

Idempotent and Tropical Mathematics and Problems Of Mathematical Physics

Independent University of Moscow

Russian-French Laboratory "J.V. Poncelet"

Moscow, August 25-30, 2007




Titles of talks


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August 25 Saturday

Arrival day

August 26 Sunday

Morning session:

9:00-9:40 Registration
9:40-9:50 Openning ceremony
9:50-10:40 Victor P. Maslov: Ultrasecond quantization of a classical version of superfluidity in nanotubes
10:40-11:00 Coffee break
11:00-11:50 I. Itenberg, V. Kharlamov and E. Shustin: Tropical geometry and enumeration of real rational curves
12:00-12:40 Semen S. Kutateladze:Abstract convexity and cone-vexing abstractions

Lunch break: 12:40-15:00

Afternoon session:

15:00-15:50M. Akian, S. Gaubert, and V.N. Kolokoltsov:On the assignment problem for a countable state space
16:00-16:40 Viacheslav P. Belavkin: Quantum Pontryagin principle and quantum Hamilton-Jacobi-Bellman equation: a max-plus point of view
16:40-17:00 Coffee break
17:00-17:50 V.V. Fock and A.B. Goncharov: Duality of cluster varieties
18:00-18:40 G.L. Litvinov and G.B. Shpiz: Dequantization procedures related to the Maslov dequantization

August 27 Monday

Morning session:

9:00-9:50 M. Akian: Representation 
of stationary solutions of Hamilton-Jacobi-Bellman 
equations: a max-plus point of view
10:00-10:40 O.V. Gulinsky: The stationary phase method and large deviations
10:40-11:00 Coffee break
11:00-11:50 N. Farhi, M. Goursat, and J.-P. Quadrat: Degree one homogeneous minplus dynamic systems and traffic applications: Part I
12:00-12:50 N. Farhi, M. Goursat, and J.-P. Quadrat: Degree one homogeneous minplus dynamic systems and traffic applications: Part II

Lunch break: 12:50-15:00

Afternoon session:

15:00-15:50Stephane Gaubert: From max-plus algebra to non-linear Perron-Frobenius theory: an approach to zero-sum repeated games
16:00-16:40 F. Faye, M. Thiam, L. Truffet, E. Wagneur: Max-plus cones and semimodules
16:40-17:00 Coffee break
17:00-17:50 Dmitry Gurevich: Quantization with a deformed trace
18:00-18:30 T. Grbic and E. Pap: Pseudo-weak convergence of the random sets defined by a pseudo integral based on non-additive measure
18:30-19:00 E. Pap and M. Strboja: Image processing based on a partial differential equation satisfying the pseudo-linear superposition principle

August 28 Tuesday

Morning session:

9:30-10:00 S. Gaubert and S. Sergeev: Cyclic projectors and separation theorems in idempotent semimodules over the max-plus semiring
10:00-10:40 V. Nitica and I. Singer: The structure of max-plus hyperplanes
10:40-11:00 Coffee break
11:00-11:50 W.M. McEneaney: Using max-plus convolution to obtain fundamental solutions for differential equations with quadratic nonlinearities
12:00-12:50 D. McCaffrey: Policy iteration and max-plus finite element method

Lunch break: 12:50-15:00

Afternoon session:

15:00-15:50A.E. Guterman: Transformations preserving matrix invariants over semirings
15:50-16:30 O.Yu. Shvedov: Semiclassical quantization of field theories
16:40-17:20 A.N. Sobolevskii:Convex analysis, transportation and reconstruction of peculiar velocities of galaxies
17:30-18:00 G.L. Litvinov: Interval analysis for algorithms of idempotent and tropical mathematics

Conference dinner: 18:30

August 29 Wednesday

Morning session:

9:00-9:50 A.V. Stoyanovsky: The Weyl algebras and quantization of fields
10:00-10:40 V.I. Danilov, A.V. Karzanov, and G.A. Koshevoy: Tropical Plucker functions
10:40-11:00 Coffee break
11:00-11:50 C.Walsh:The horofunction boundary
12:00-13:00 V.F. Molchanov and S.V. Tsykina: Polynomial quantization on para-Hermitian symmetric spaces

Lunch break: 13:00-15:00

Afternoon session: 

15:00-15:30S. Sergeev: Minimal elements and cellular closures over the max-plus semiring
15:30-16:00 E.N. Mikhalkin: On amoeba of discriminant of algebraic equation (in Russian)
16:10-17:00 E.M. Beniaminov:Quantization as approximate description of a diffusion process (in Russian)
17:10-18:00 A.G. Kushner:Contact classification of the Monge-Ampere equations (in Russian)

August 30 Thursday

Morning session:

10:00-10:40 R. Ulvert: The curves whose amoebas determine the fundamental group of complement (in Russian)
10:40-11:20 A.V. Churkin and S.N. Sergeev: Universal algorithms solving discrete Bellman systems of equations
over semirings (a computer demonstration) (in Russian)
11:20-11:40 Coffee break
11:40-12:20 A.M. Gelfand and B. Kh. Kirshteyn: Idempotent systems of nonlinear equations and computational problems arising in electroenergetic networks (in Russian)
12:20-12:50 G.V. Koval and V.P. Maslov: Generalization of ultrasecond quantization for fermions at non-zero temperature (in Russian)
12:50-13:00 THE END