L. D. Faddeev (St. Petersburg): The new life of integrability |
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Csütörtök, 7. Május 2015, 13:00 - 15:00
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| Abstract. The notion of complete integrability stems from the formalism of Hamiltonian mechanics of the XIX century and the search for concrete examples was a kind of exotic sport. The situation changed drastically in the second half of the last century, when realistic examples of completely integrable infinite dimensional Hamiltonian systems were constructed. The first example of the Korteveg-de Vries equation was followed by many other systems with natural quantization. Spin chains gave another line of development. This culminated in the formulation of a general theory of integrable systems, based on the Yang-Baxter equation and Bethe Ansatz. New applications in recent times appeared in relativistic quantum field theory. I shall give an elementary survey of this development. |
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Hely : Bolyai lecture room |
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