TIM STEGER, Università di Sassari
50 FAKE PLANES
Lunedì 15 Febbraio 2010, ore 15:00
Aula seminari 3014, Dipartimento di Matematica, Università di Milano Bicocca | |
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Renzo Ricca, Università di Milano-Bicocca
On Gauss' linking number and the energy spectrum of magnetic knots
Mercoledì 16 Dicembre 2009, ore 17:00
Dipartimento di Matematica, Università di Milano, Via Saldini |
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Abstract
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By revisiting Gauss work on magnetism we provide [1] a plausible reconstructionof what might have been Gauss own derivation of the linking number
concept and formula. Information on linking number and crossing number are fundamental
in a topological approach to field theory, topology providing a lower bounds on the
energy of the physical system [2]. In the case of knots, for instance, an exact analytical
expression for the minimum energy is found and the energy spectrum determined [3].
These results are fundamental in the classification of knots and links by energy methods and in the search for ground-state energy information in topological field theory [4].
[1] Ricca, R.L., Nipoti, B. On the original derivation and modern interpretations of
Gauss' linking number. To be submitted to J. Knot Theory and Its Ram.
[2] Ricca (2008) Topology bounds energy of knots and links. Proc. R. Soc. A 464, 293-300.
[3] Maggioni, F. and Ricca, R.L. (2009) On the groundstate energy of tight knots. Proc. R. Soc. A 465, 2761-2783.
[4] Ricca, R.L. (Ed.) (2009) Lectures on Topological Fluid Mechanics. Springer-CIME
Lecture Notes in Mathematics 1973. Springer-Verlag. Heidelberg, Germany.
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Giorgio Fusco, Università dell Aquila
Equivariant entire solutions to elliptic
systems with variational structure
Giovedì 19 Novembre 2009, ore 15:00
Università di Milano Bicocca, Dipartimento di Matematica e Applicazioni, aula 3014 edificio U5 III piano | |
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Bernard Helffer, Université de Paris XI
On Nodal domains and spectral minimal partitions: new results and open problems
Lunedì 26 Ottobre 2009, ore 17:00
Università di Milano-Bicocca, Dipartimento di Matematica e Applicazioni, aula 45 II piano | |
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Wei-Min Wang, Université Paris-Sud
Spectral method in Hamiltonian PDE
Lunedì 12 Ottobre 2009, ore 17:30
Dipartimento di Matematica, Universita di Milano | |
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Jun-Cheng Wei, The Chinese University of Hong Kong
On De Giorgi Conjecture and Beyond
Venerdì 02 Ottobre 2009, ore 15:00
TBA | |
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