MATHEMATICS & LINEAR ALGEBRA OVER SEMIRINGS

CRM/GERAD

29 juin - 3 juillet, 2009

Programme pr�liminaire

Lundi, 29 juin

                9h15 - 9h45         Ouverture de l'atelier: Edouard Wagneur, chair, Peter Russell, Director of the CRM, Roland Malham�, Director of the

                                           GERAD

                10h00 - 11h00     Hans Schneider, University of Wisconsin at Madison

                11h30 - 13h00     D�ner

                13h30 - 14h30     Marianne Akian:  Tropical Linear Independence, Signed Linear Equations, and Mean Payo Games (with S. Gaubert and

                                           A. Guterman)

                14h30 - 15h15     William McEneaney:  Max-Plus Convex Functions, Min-MaxVector spaces, and a Complexity Reduction Problem

                15h15 - 15h45     Pause caf�

                15h45 - 17h30     Oleg V. Gulinsky, The Stationary:  Phase Method for Stochastic Integrals

                10h00 - 10h30     Pause caf�

                10h30 - 11h15     Jean-Louis Boimond and S�bastien Lahaie:  On Steady State Controllers in Min-Plus Algebra

                11h30 - 13h00     D�ner

                13h30 - 14h15     Paul Poncet:  A Decomposition Theorem for Maxitive Measures

                14h15 - 15h00     Monika Molnarova, and Martin Gavalek:  Second Maximal Cycle Mean of a Max-Plus Matrix

                15h00 - 15h30     Pause Caf�

                15h30 - 16h15     Jean-Jacques Loiseau:  Existence and Well-posedness for a Class of Positive Implicit Difference Equations

                16h15 - 17h30     Discussions sur les probl�mes soulev�s durant les 2 premiers jours

Mercredi, 1^er juillet

                9h00 - 9h45         Grigori Litvinov:  Interval Analysis in Idempotent and Tropical Mathematics

                9h45 - 10h15       Pause caf�

                10h15 - 11h15     Sergei Sergeev:  Max Algebraic Powers of Matrices in the Periodic Regime: An Application of Cyclic Classes

                11h30                 D�ner

                                           F�te du Canada: �v�nement sp�cial � venir

Jeudi, 2 juillet

                9h00 - 10h00        Stephane Gaubert:  Tropicalizing Discrete Convex Geometry: Some Unexpected Results

                10h00 - 10h30      Pause caf�

                10h30 - 11h15      Nitica Viorel:  The Structure of Max-Min Hyperplanes

                11h30 - 13h00      D�ner

                13h30 - 14:30       Maria Jesus de la Puente:  Tropical Linear Mappings on the Plane

                14:30 - 15h15       Martin Gavalec, Jan Plavka, and Karel Zimmermann:  Interval Eigenproblem in Max-Min Algebra

                15h15 - 15h45      Pause caf�

                15h45 - 16h30      Edouard Wagneur:  On the Formal Complexity of the Solution to some Max-Linear Inequalities

                16h30 - 17h30      Discussions sur les probl�mes soulev�s depuis le d�but de l'atelier

Vendredi, 3 juillet

                9h45 - 10h30        Sharify, Meisam, and Stephane Gaubert:  Tropical Scaling of Polynomial Eigenvalue Problems

                10h30 - 11h00      Pause caf�

                11h00 - 11h45      Ivan Singer, Marianne Akian, Stephane Gaubert, and Viorel Nitica:  Best Approximation in the Hilbert Projective Metric by

                                           Max-Plus Semimodules

                12h00 - 13h30      D�ner

                14h00 - 15h00      Discussions sur les probl�mes soulev�s. Perspectives futures

                15h30                   Fin de l'atelier