Futuro
Lunedì 21 marzo 2005, ore 16.30
Andrei ZELEVINSKY
Northeastern University
Cartan-Killing classification: old and new
The famous Cartan-Killing classification of semisimple Lie algebras by
Dynkin diagrams is one of the most important mathematical results of all
time. Dynkin diagrams appear also in many other important classification
results:
simple singularities, finite crystallographic
reflection groups, finite subgroups of SL(2), quivers of finite
representation type, etc. I will present a new instance of this
ubiquitous classification: as shown jointly with S.Fomin, cluster
algebras of finite type are also classified by Dynkin diagrams.
However the underlying combinatorics of the new classification is very
different from that of the old ones: it is based on skew-symmetrizable
analogues of Cartan matrices. We
discuss an interplay between symmetrizable and skew-symmetrizable
matrices, leading to a new criterion for deciding whether a given
skew-symmetrizable matrix gives rise to a cluster algebra of finite
type (this is a joint work with M.Barot and C.Geiss).
The talk will be elementary and self-contained.
Passato
Lunedì 31 gennaio 2005
Richard B. MELROSE
Massachussets Institute of Technology
Index Theory, Twisting and Quantization
Mercoledì 17 novembre 2004
Pierre DELIGNE
(Institute for Advanced Study, Princeton)
The category of representations of the
symmetric group S_t,
when t is not a natural number
Venerdì 21 maggio 2004
Richard HAMILTON
(Columbia University)
The Ricci Flow on Three-Manifolds
Giovedì 6 maggio 2004
Tai-Ping LIU
(Academia Sinica e Stanford University)
Entropy methods and nonlinearity
Venerdì 30 aprile 2004
Gene H. GOLUB
(Stanford University)
A History of Numerical Linear Algebra
Mercoledì 3 dicembre 2003
Pierre-Louis LIONS
(Collège de France)
Stochastic control and finance
Giovedì 13 novembre 2003
Luis CAFFARELLI
(University of Texas)
Homogenization of parametric problems
Venerdì 7 novembre 2003
Enrique ZUAZUA
(Universidad Autònoma de Madrid)
Wave propagation, numerics and control
Lunedì 9 giugno 2003
Efim ZELMANOV
(Yale University)
Infinite dimensional algebras and
superalgebras
Jean-Francois LE GALL
(Ecole Normale Supérieure - Paris)
Continuous random trees and their
applications
to combinatorics and partial differential
equations
Giovedì 29 maggio 2003
Joe HARRIS
(Harvard University)
Shigeru MUKAI
(RIMS - Kyoto)
Jànos KOLLAR
(Princeton University)
Ciro CILIBERTO
(Università di Tor Vergata - Roma)