International Workshop

Tropical and Idempotent Mathematics

Russian-French Laboratory "J.V. Poncelet"

Moscow Centre for Continuous Mathematical Education

Independent University of Moscow

A.A. Kharkevich Institute for Information Transmission Problems of RAS

V.A. Trapeznikov Institute for Control Problems of RAS

Moscow, August 26-31, 2012




Titles of talks


Important deadlines

Contact us

How to reach us?



August 26 Sunday

Arrival day

August 27 Monday

Morning session:

9:00-9:50 Registration
9:50-10:50 Opening ceremony
10:00-10:50 Grigori L. Litvinov:Dequantization of mathematical structures and tropical/idempotent mathematics. An introductory lecture (in Russian with all the slides in English)
11:00-11:50 Vassili N. Kolokoltsov(Warwick, UK): On Maslov's quantization of thermodynamics
11:50-12:10 Coffee break
12:10-13:00 Dmitry A. Nikolayev(Lipetsk, Russia): Modelling and control of multiagent systems by idempotent algebra methods.
13:10-14:00 Alexander E. Guterman and Yaroslav N. Shitov: Bounds for tropical, determinantal and Gondran--Minoux ranks

LUNCH break: 14:00-16:00

Afternoon session:

16:00-16:50 Alexei I. Esterov(Moscow, Russia):Discriminant of system of equations
17:00-17:50 Nikolai K. Krivulin(St. Petersburg, Russia): Solution to an Extremal Problem in Tropical Mathematics
17:50-18:10 Coffee break
18:10-18:40 G.L. Litvinov and G.B. Shpiz: (Moscow, Russia) Versions of the Engel theorem for semigroups

August 28 Tuesday

Morning session:

9:30-10:20 Marianne Akian (Paris, France) Fixed points of discrete convex monotone dynamical systems
10:30-11:20 Glenn Merlet et al. (Marseille, France) The asymptotic rank of semi-groups of tropical matrices
11:20-11: 50 Coffee break
11:50-12:40Antonio Avantaggiati and Paola Loreti (Rome, Italy) Gagliardo type Inequality: an idempotent point of view
12:50-13:25 Boris Kh. Kirshtein (Moscow, Russia) Singularities for tropical limit/dequantization
13:25-14:00Vladimir I. Danilov, Alexander V. Karzanov and Gleb A. Koshevoy Moscow, Russia) Planar Flows and Quadratic Relations over Semirings

LUNCH break: 14: 00-16:00

Afternoon session:

16:00-16:50 William McEneaney (San Diego, USA) Games of Network Disruption and Idempotent Algorithm Complexity
17:00-17:50Vladimir I. Danilov, Alexander V. Karzanov and Gleb A. Koshevoy (Moscow, Russia) Tropical Plucker Functions and Kashiwara Crystals of Types A, B, and C
17:50-18:05Coffee break
18:05-18:55Cormac Walsh (Paris, France) Studying isometry groups using the horofunction boundary


August 29 Wednesday

Morning session:

9:30-10:20 Louis Rowen (Bar-Ilan, Israel) Layered tropical algebras, applied to tropical algebraic geometry
10:30-11:20 Ovidiu Radulescu with D. Grigoriev, V. Noel, and S. Vakulenko (Montpellier, France) Tropicalization of systems biology models
11:20-11:50Coffee break
11:50-12:40 Edouard Wagneur (Montreal, Canada) Injectivity Modules of a Tropical Map
12:50-13:25 Bernadette Charron-Bost and Thomas Nowak (Paris, France) General Transience Bounds in Tropical Linear Algebra via Nachtigall Decomposition
13:25-14:00 Theodor E. Krenkel (Moscow, Russia) On the geometry of quantum codes. Introduction

LUNCH break: 14:00-16:00

Afternoon session:

16:00-16:50 Karel Zimmermann (Prague, Czech Republic) Properties of Systems of (max, +)- and (max,\min)-Linear Equations and Inequalities
17:00-17:50 Dima Grigoriev (Lion, France) and Vladimir V. Podolskii (Moscow, Russia) Complexity of tropical and min-plus linear prevarieties
17:50-18:10 Coffee break
18:10-19:00 Vladimir D. Matveenko (St. Petersburg, Russia) Powers of matrices with an idempotent operation and an application to analysis of dynamics of spatial agglomerations

August 30 Thursday

Morning session:

9:30-10:15 Mikhael Pevzner (Reims, France) Spectral approach to composition formulas
10:25-11:10 Sergei Nechaev and Andrei N. Sobolevski (Moscow, Russia and Orsay, France) A minimum-weight perfect matching process for cost functions of concave type in~1D
11:10-11:40 Coffee break
11:40-12:30 Dimitri Gurevich (Valenciennes, France) New type of Noncommutative Geometry arising from a quantization
12:40-13:20 Oleg V. Gulinsky (Moscow, Russia and Israel) Time slicing approximation and Stationary phase method for Path integral with Brownian-bridge-type action
13:20-14:00 Viorel Nitica (Wect Chester, USA) and Sergei Sergeev (Birmingham, UK) Semispaces in the max-min convexity

LUNCH break: 14:00-16:00

Afternoon session

16:00-16:40 Ricardo D. Katz (Rosario, Argentina), Viorel Nitica (West Chester, USA) and Sergei Sergeev The structure of max-plus hemispaces
16:50-17:40 Vladimir F. Molchanov (Tambov, Russia) The Berezin quantization as a part of the representation theory
17:40-18:10 Coffee break
18:10-19:00 Gennadi I. Malaschonok (Tambov, Russia) Tropical computations in Mathpar

August 31 Friday

Morning session:

9:30-10:20 Andrei V. Churkin (joint with D.S. Aksenov and D.V. Evstigneev, Moscow, Russia, in Russian ) A family of de-parallelized algorithms for image recognition optimized for implementation on multicore central processors
10:30-11:20 Evgeny M. Beniaminov (Moscow, Russia) The Galileo Invariance of Diffusion Scattering of Waves in the Phase Space
11:20-11:50 Coffee break
11:50-12:40 Alexei P. Davydov (St.-Petersburg, Russia, in Russian) Estimating the computational complexity of Grigoriev's algorithm for solving tropical systems
12:50-13:40 Alexander D. Bruno (Moscow, Russia) Asymptotic solving nonlinear equations

13:40-14:00 THE END