Homological methods and representations of non-commutative algebras

Emplacement

MARDELPLATA
,
Argentine

Dates

à

Présentation

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.

Coordinateurs administratifs et scientifiques

Maria Julia Redondo (Universidad Nacional del Sur,
Argentine
,
mredondo@criba.edu.ar
)
Claude Cibils (Université de Montpellier II,
France
,
claude.cibils@math.univ-montp2.fr
)

Programme scientifique

Cours 1: "An introduction to the representation theory of finite dimensional algebras", Ibrahim Assem (Université de Sherbrooke, Canada)

Cours 2: "Polynomial invariants, an introduction to some classical commutative topics and an overview of some current noncommutative developments", François Dumas (Université de Clermont-Ferrand, France)

Cours 3: "Generic modules and complexes", Raymundo Bautista (Universidad Nacional Autonoma de Mexico, Mexico)

Cours 4: "The Poisson structure of some quotient varieties", Jacques Alev (Université de Reims, France)

Cours 5: "Koszul algebras and applications", Roberto Martinez Villa (Universidad Nacional Autonoma de Mexico, Mexico) & Dan Zacharia (Syracuse University, USA)

Cours 6: "Group actions on finite dimensional algebras and their categories of modules", José A. de la Pena (Universidad Nacional Autonoma de Mexico, Mexico)

Cours 7: "Derived categories and their applications", Maria Julia Redondo (Universidad Nacional del Sur, Argentina) & Andrea Solotar (Universidad de Buenos Aires, Argentina)

Cours 8: "Homological conjectures and degenerations of modules.", Sverre Smalø (University of Trondheim, Norway)

Cours 9: "Cluster categories and their relation to Cluster algebras, Semi-invariants and Homology of torsion free nilpotent groups", Gordana Todorov (Northeastern University, Boston, USA)

Site internet de l'école

http://www.cimpa-icpam.org/anciensite/Anglais/AnciensProg/2006/Argentina06.html

Comment participer