Advanced School and Workshop on Matrix Geometries and Applications

21 Janvier 2013

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Catégorie : Ecole thématique

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The Abdus Salam International Centre for Theoretical Physics (ICTP) is organizing an Advanced School and Workshop on Matrix Geometries and Applications, which will be held at ICTP, Trieste, Italy, from 1 to 12 July 2013.

Linear algebra is a fundamental topic in mathematics. It is used in almost all branches of mathematics and is among the most important mathematical disciplines for applications to science and technology.

Solutions of several problems in matrix theory involve ideas from differential, algebraic, affine, and projective geometry. The results have been used in diverse applications in image processing, statistics, machine learning, elasticity, mathematical foundations of quantum mechanics, quantum information etc.

This School and Workshop will be devoted to the exposition and discussion of some of these ideas.

MAIN TOPICS

• Riemannian geometry of the space of positive definite matrices
• Geometric means
• Numerical aspects of geometric means
• Techniques from algebraic geometry in matrix analysis
• Geometry and Spectral variation
• Adjacency preserving maps

The first week (1 - 5 July) will consist of a school. Short instructional courses will be given by leading researchers in the area. Three or four one-hour morning talks will be followed by problem and tutorial sessions in the afternoon.

The second week (8 - 12 July) will consist of an advanced workshop where speakers will present current research.

Lecturers at the School: Frederic Barbaresco (Thales Air Systems, Paris), Rajendra Bhatia (ISI, New Delhi), Dario Bini (Università di Pisa), John Holbrook (University of Guelph), Lek-Heng Lim (University of Chicago), Peter Semrl (University of Ljubljana).

Invited speakers at the Workshop: Jorge Antezana (AIM, Buenos Aires)ILAS speaker, Silvere Bonnabel (Mines Paris-Tech), Bruno Iannazzo (Università di Perugia), Gabriel Larotonda (AIM, Buenos Aires), Jimmie D. Lawson (LSU, Baton Rouge), Yongdo Lim (KNU, Daegu), Beatrice Meini (Università di Pisa), Maher Moakher (ENIT, Tunis), Lajos Molnar (University of Debrecen), Frank Nielsen (Sony CSL, Tokyo), Miklos Palfia (BME, Budapest), Stefano Serra Capizzano (Università dell'Insubria, Como), Klemen Sivic (University of Ljubljana), Ke Ye (University of Chicago), and many of the lecturers at the School.

PARTICIPATION

Mathematicians from all countries which are members of the United Nations, UNESCO or IAEA may attend the School and Workshop. As it will be conducted in English, participants should have an adequate working knowledge of that language. Although the main purpose of the Centre is to help research workers from developing countries, through a programme of training activities within a framework of international cooperation, a limited number of students and post-doctoral scientists from developed countries are also welcome to attend.

As a rule, travel and subsistence expenses of the participants should be borne by the home institution. Every effort should be made by candidates to secure support for their fare (or at least half-fare). However, limited funds are available for some participants who are nationals of, and working in, a developing country. Such support is available only for those who attend the entire activity. There is no registration fee.

HOW TO APPLY FOR PARTICIPATION

The application form can be accessed at the activity website http://agenda.ictp.it/smr.php?2470
Once in the website, comprehensive instructions will guide you step-by-step, on how to fill out and submit the application form.

Activity Secretariat:
The Abdus Salam International Centre for Theoretical Physics
miss. A. Bergamo

Strada Costiera 11 
I-34151 Trieste, Italy
Telefax: +39-040-2240-7490 
Telephone: +39-040-2240201

smr2470@ictp.it

DEADLINE for requesting participation: 28 FEBRUARY 2013