ROGER TEMAM, Indiana University Bloomington
THE ATMOSPHERE-ICES-OCEAN SYSTEMS. ITS COMPLEXITY, ITS MODELING
Workshop: Mathematics in a Complex World
on the occasion of 150th year of Politecnico di Milano
Giovedì 28 Febbraio 2013, ore 17:45
Politecnico di Milano | |
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PAOLO CASCINI, Imperial College, London
CURVE RAZIONALI IN GEOMETRIA ALGEBRICA
Lunedì 04 Febbraio 2013, ore 17:00
Dipartimento di Matematica, Università di Milano, Via Saldini | |
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ENRICO ARBARELLO, Università di Roma La Sapienza
VARIETA' DI PRYM RELATIVE ASSOCIATE A UNA SUPERFICIE DI ENRIQUES.
Lunedì 28 Gennaio 2013, ore 17:00
Università di Milano, Dipartimento di Matematica, Via Saldini | |
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IGOR HERBUT, Simon Fraser University
QUANTUM NUMBERS OF TOPOLOGICAL DEFECTS AND REAL CLIFFORD ALGEBRAS IN DIRAC SYSTEMS
Lunedì 21 Gennaio 2013, ore 17:00
Università di Milano, Dipartimento di Matematica |
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Abstract
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I will discuss the emergent Dirac quasiparticles in the lattice systems of electrons, exemplified by graphene, in the presence of topological defects of the allowed superconducting and insulating, order parameters. These orders appear as possible mass terms in the Dirac equation, and their topological defects have been known to carry non-trivial quantum numbers such as charge and spin since the work of Jackiw and Rebby in 1976.
In the talk I will discuss their additional internal degree of freedom: irrespectively of the nature of orders that support the defect, an extra
mass-order-parameter spontaneously emerges in the defect's core. The determination of the quantum state of the topological defect turns out to be an interesting problem in the representation theory of (real) Clifford algebras; with the Clifford algebra C(2,5) playing a fundamental role in graphene, for example. Ultimately, the particle-hole symmetry restricts the defects to always carry the quantum numbers of a single effective isospin-1/2, quite independently of the values of their electric charge or true spin. Examples of this new degree of freedom in graphene and on surfaces of topological insulators will be given. |
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JAMES ROBINSON, Warwick University
INTERPOLATION AND LADYZHENSKAYA INEQUALITY IN A COUPLED ELLIPITIC-PARABOLIC PROBLEM
Martedì 27 Novembre 2012, ore 17:00
Politecnico di Milano, Dipartimento di Matematica | |
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