CRM: Centro De Giorgi
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Entanglement and Linking

From Gauss' derivation of linking number to its role in modern topological dynamics

speaker: Renzo L. Ricca (Department of Mathematics & Applications, University of Milano-Bicocca)

abstract: A mathematical reconstruction of what might have been Gauss' own derivation of the linking number formula of 1833 is offered; this is based on an accurate study of Gauss' own work on terrestrial magnetism, and it is complemented by the independent analysis and discussion made by Maxwell in 1867. After almost two centuries the role of linking number is still fundamental in so many aspects of pure and applied mathematics. Here we show how linking number information helps to detect and describe some fundamental aspects in modern topological dynamics.

[1] Ricca, R.L. & Nipoti, B., Gauss’ linking number revisited. J. Knot Theory & Its Ram., in press (2011).
[2] Goldstein, R.E., Moffatt, H.K., Pesci, A.I. & Ricca, R.L., A soap film Möbius strip changes topology with a twist singularity. Proc. Natnl. Acad. Sci. 107, 21979-21984 (2010).

Thu 19 May, 9:30 - 10:15, Aula Dini
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