Lucio Boccardo, Università di Roma La Sapienza
Problemi di minimo con dati singolari
Monday, October 10 2005, at 17:00
Dipartimento di Matematica - Università degli Studi - Via Saldini 50 - Milano - Sala di Rappresentanza | |
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Louis H. Kauffman, University of Illinois, Chicago (Stati Uniti)
Rational knots, rational tangles and DNA
Thursday, July 07 2005, at 17:00
Dipartimento di Matematica e Applicazioni - Università degli Studi di Milano Bicocca - Via Cozzi, 53 - Aula 3014 | |
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David Kazhdan, Harvard University and Einstein Institute, Hebrew University (Stati Uniti)
The Fourier transform over the p-adic domain
Wednesday, June 29 2005, at 17:00
Dipartimento di Matematica - Università degli Studi - Via Saldini 50 - Milano - Sala di Rappresentanza | |
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Jan Trlifaj, Univerzita Karlova, Praga (Repubblica Ceca)
Infinite dimensional tilting theory and its applications
Monday, June 13 2005, at 17:00
Dipartimento di Matematica - Università degli Studi di Milano - Via Saldini 50 - Milano - Aula 8 |
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Abstract
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Modules (representations) play a key role in the structure theory of associative rings (algebras). Starting from Morita theorem characterizing equivalence of full module categories, we will proceed to Brenner-Butler theorem (1-dimensional case), and the Miyashita theorem (n-dimensional case). In all these theorems, the representing tilting modules are finitely generated. Then we will introduce the recent notion of an infinitely generated tilting module and show its relation to module approximations. Though infinitely generated, the tilting modules are of `finite type', and this fact makes it possible to classify them over particular rings. We will finish by presenting two recent applications of infinitely generated n-tilting modules: (i) for n=1, to describing the structure of Matlis localizations of commutative rings, and (ii) for an arbitrary n, to proving finitistic dimension conjectures for (non-commutative) Iwanaga-Gorenstein rings. |
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Michael Ortiz, California Institute of Technology, Pasadena (Stati Uniti)
Multiscale problems in crystal plasticity
Monday, June 06 2005, at 17:00
Dipartimento di Matematica - Politecnico di Milano - Via Bonardi 9 - Milano - Aula Seminari III piano | |
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Mauro Spera, Università di Padova
Alcuni aspetti simplettici della teoria dei nodi
Monday, May 02 2005, at 15:00
Dipartimento di Matematica e Applicazioni - Università degli Studi di Milano Bicocca - Via Cozzi, 53 - Aula 3014 | |
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