ANGELO VULPIANI, Università di Roma La Sapienza
FRONT PROPAGATION IN LAMINAR AND TURBULENT FLOWS
Monday, March 29 2010, at 17:00
Dipartimento di Matematica, Politecnico di Milano, Sala Consiglio VII piano | |
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P.M.H. WILSON, Department of Pure Mathematics and Mathematical Statistics, University of Cambridge
METRIC PROPERTIES OF CALABI-YAU MANIFOLDS
Monday, March 29 2010, at 15:00
Dipartimento di Matematica, Università di Milano | |
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DIETMAR HOEMBERG, Weierstrass Institute for Applied Analysis and Stochastics
THE MATHEMATICS OF DISTORTION
Monday, March 01 2010, at 17:00
Dipartimento di Matematica, Università di Milano, Via Saldini, Sala di Rappresentanza | |
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ALBERTO BRESSAN, Pennsylvania State University
NON-COOPERATIVE DIFFERENTIAL GAMES
Thursday, February 25 2010, at 11:30
Dipartimento di Matematica, Politecnico di Milano, Sala Consiglio VII piano | |
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TIM STEGER, Università di Sassari
50 FAKE PLANES
Monday, February 15 2010, at 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
Wednesday, December 16 2009, at 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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