MONTREAL WORKSHOP ON TROPICAL AND IDEMPOTENT

MATHEMATICS & LINEAR ALGEBRA OVER SEMIRINGS

CRM/GERAD

June 29-July 3rd 2009

PRELIMINARY PROGRAM

Monday June 29

                9:15 - 9:45         Opening of the workshop: Edouard Wagneur, chair, Peter Russell, Director of the CRM, Roland Malhamé, Director of the

                                         GERAD

                10:00 - 11:00     Hans Schneider, University of Wisconsin at Madison

                11:30 - 13:00     Lunch

                13:30 - 14:30     Marianne Akian:  Tropical Linear Independence, Signed Linear Equations, and Mean Payo Games (with S. Gaubert and

                                         A. Guterman)

                14:30 - 15:15     William McEneaney:  Max-Plus Convex Functions, Min-MaxVector spaces, and a Complexity Reduction Problem

                15:15 - 15:45     Coffee break

                15:45 - 17:30     Oleg V. Gulinsky, The Stationary:  Phase Method for Stochastic Integrals

                10:00 - 10:30     Coffee break

                10:30 - 11:15     Jean-Louis Boimond and Sébastien Lahaie:  On Steady State Controllers in Min-Plus Algebra

                11:30 - 13:00     Lunch

                13:30 - 14:15     Paul Poncet:  A Decomposition Theorem for Maxitive Measures

                14:15 - 15:00     Monika Molnárová, and Martin Gavalek:  Second Maximal Cycle Mean of a Max-Plus Matrix

                15:00 - 15:30     Coffee break

                15:30 - 16:15     Jean-Jacques Loiseau:  Existence and Well-posedness for a Class of Positive Implicit Difference Equations

                16:15 - 17:30     Discussion on the problems raised during the first two days

Wednesday, July 1st

                9:00 - 9:45         Grigori Litvinov:  Interval Analysis in Idempotent and Tropical Mathematics

                9:45 - 10:15       Coffee break

                10:15 - 11:15     Sergei Sergeev:  Max Algebraic Powers of Matrices in the Periodic Regime: An Application of Cyclic Classes

                11:30                 Lunch

                                         Canada Day: Special event to be announced

Thursday July 2nd

                9:00 - 10:00        Stephane Gaubert:  Tropicalizing Discrete Convex Geometry: Some Unexpected Results

                10:00 - 10:30      Coffee break

                10:30 - 11:15      Nitica Viorel:  The Structure of Max-Min Hyperplanes

                11:30 - 13:00      Lunch

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

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

                15:15 - 15:45      Coffee break

                15:45 - 16:30      Edouard Wagneur:  On the Formal Complexity of the Solution to some Max-Linear Inequalities

                16:30 - 17:30      Discussions on the problems raised earlier in the workshop.

Friday July 3rd

                9:45 - 10:30        Sharify, Meisam, and Stephane Gaubert:  Tropical Scaling of Polynomial Eigenvalue Problems

                10:30 - 11:00      Coffee break

                11:00 - 11:45      Ivan Singer, Marianne Akian, Stephane Gaubert, and Viorel Nitica:  Best Approximation in the Hilbert Projective Metric by

                                          Max-Plus Semimodules

                12:00 - 13:30      Lunch

                14:00 - 15:00      Discussions on the problems raised. Further perspectives.

                15:30                 End of the workshop