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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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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Abstract
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The macroscopic plasticity of ductile crystals is the net result of the collective motion of large numbers of crystal lattice defects, most notably, glissile dislocations, with structures forming at multiple length scales. These include the scale of the lattice, where dislocations may be regarded as discrete topological defects: the scale of the mean distance between dislocations, where the dynamics of the dislocation ensemble is of primary interest: and the sub-grain scale, where dislocations form characteristic patterns. The development of mathematical links between the behaviors at all scales, and the characterization of the effective macroscopic behavior of ductile crystals, remains a central and long-standing problem in physical metallurgy. Tools of the calculus of variations such as relaxation and Gamma convergence prove powerful and convenient in forging those links. I plan to review a number of mathematical problems that arise in that context, and some recent results pertaining to those problems, including: the formulation of a geometrical mechanics of discrete dislocations and the passage to the continuum: the effective energetics and dynamics of dislocation ensembles: and the relaxation and optimal scaling properties of single-crystals. |
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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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