2006 Argentina

2006 ARGENTINA

(Version française) (Versión en Español)

Scientific report	María Julia Redondo (in French, pdf) Michel Jambu (in French, pdf)
Some pictures	http://www.math.uni-bielefeld.de/~philfahr/photos/Mardel306/index.html

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CIMPA-UNESCO-ARGENTINA School

Homological methods and representations of non-commutative algebras

Objectives :
We intend to introduce the students to some important new developments in Arrangement Theory, Singularity Theory and related areas in Algebraic Geometry. The main emphasis will be the interaction of this two subjects. The school will draw attention on a very active area of research in Mathematics, which is likely to produce major advances in various branches of applied sciences such as computer science (visualization of singular spaces and geometric modeling) or robotics ( configuration spaces of bar mechanisms). The school should provide students with the tools necessary for conducting research in these areas and should facilitate the contacts between the students coming from various European countries and Mediterranean countries.

Chairman:
María Julia Redondo (Universidad Nacional del Sur, Argentina)

Organizing committee:
Sonia Trepode (Universidad Nacional de Mar del Plata, Argentina)
Claude Cibils (Université de Montpellier II, France)
Andrea Solotar (Universidad de Buenos Aires, Argentina)
Maria I. Ramalho Martins (Universidade de São Paulo, Brazil)
Eduardo Marcos (Universidade de São Paulo, Brazil)
Marcelo Lanzilotta (Universidad de la República, Uruguay)

Working languages:
Spanish, French, English, Portuguese

Date and location :
March 6 - 17, 2006
Mar del Plata, Argentina

Scientific programme: (schedule, abstracts)
- An introduction to the representation theory of finite dimensional algebras.
Ibrahim Assem (Université de Sherbrooke, Canada)
- Polynomial invariants, an introduction to some classical commutative topics and an overview of some current noncommutative developments.
François Dumas (Université de Clermont-Ferrand, France)
- Generic modules and complexes.
Raymundo Bautista (Universidad Nacional Autónoma de México, Mexico)
- The Poisson structure of some quotient varieties.
Jacques Alev (Université de Reims, France)
- Koszul algebras and applications.
Roberto Martínez Villa (Universidad Nacional Autónoma de México, Mexico) and Dan Zacharia (Syracuse University, USA)
- Group actions on finite dimensional algebras and their categories of modules.
José A. de la Peña (Universidad Nacional Autónoma de México, Mexico)
- Derived categories and their applications.
María Julia Redondo (Universidad Nacional del Sur, Argentina) and Andrea Solotar (Universidad de Buenos Aires, Argentina)
- Homological conjectures and degenerations of modules.
Sverre Smalø (University of Trondheim, Norway)
- TBA.
Gordana Todorov (Northeastern University, USA)

Prerequisites :
The school is adressed to PhD students and young researchers in algebra and non-commutative algebra.

Local web site : www.cimpa2006.uns.edu.ar