Sverre O. Smalø, Norwegian University of Science and Technology (Trondheim, Norvegia)
Degenerations and other orderings on the space of d-dimensional representations of associative algebras
Monday, June 04 2007, at 17:00
Dipartimento di Matematica - Università degli Studi - Via Saldini 50 - Milano - Sala di Rappresentanza |
|
|
Abstract
|
 |
 |
This talk will be centered around the three related partial orderings on the space of d-dimensional representations of a finitely generated associative algebra over an algebraically closed field given by degenerations, what is called virtual degenerations and an order induced by the dimensions of the spaces of homomorphisms. These partial orders are on the outset of a geometrical nature. However, it is usually more convenient to express them in pure algebraic terms using homological properties. Therefore these notions can also be extended to the situation where the field is not algebraically closed, and some of the results can even be extended to the situation where one is considering algebras over a commutative artin ring. For the results which hold true in the most general situation the proofs become most elegant since they depend on using length arguments only and thereby forgetting about the nature of the field altogether. The notions will be introduced by using familiar examples from linear algebra and matrices, and some basic algebra. |
|
|
| |
Timothy J. Sluckin, University of Southampton (Gran Bretagna)
The mathematical legacy of Vito Volterra
Tuesday, May 22 2007, at 17:00
Dipartimento di Matematica - Politecnico di Milano - Via Bonardi 9 - Milano - Aula Seminari VI piano | |
|
|
| |
Erik Weyer, University of Melbourne (Australia)
Non-asymptotic confidence regions for the parameters of dynamical systems
Tuesday, May 22 2007, at 14:30
Dipartimento di Matematica - Politecnico di Milano - Via Bonardi 9 - Milano - Aula Seminari MOX (VI piano) | |
|
|
| |
Carlo Petronio, Università di Pisa
Combinatorial and geometric methods in topology
Monday, April 23 2007, at 17:00
Dipartimento di Matematica - Università degli Studi - Via Saldini 50 - Milano - Sala di Rappresentanza | |
|
|
| |
Enzo Mitidieri, Università di Trieste
Convexity, representation and Liouville theorems
Monday, March 26 2007, at 17:00
Dipartimento di Matematica - Università degli Studi - Via Saldini 50 - Milano - Sala di Rappresentanza | |
|
|
| |
Yasuhide Fukumoto, Kyushu University (Giappone)
Asymptotic formula for velocity of a vortex ring and kinematic variational principle
Wednesday, March 14 2007, at 11:00
Dipartimento di Matematica ed Applicazioni - Università degli Studi di Milano Bicocca - Via Cozzi 53 -Milano Aula 3014 | |
|
|
| |
|
|
|
|
