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Семинар отдела геометрии и топологии МИАН «Геометрия, топология и математическая физика» (семинар С. П. Новикова)
12 декабря 2018 г. 18:30, г. Москва, Мехмат МГУ, ауд. 16-22
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On a generalisation of the construction of integrable systems determined by
symmetric powers of plane algebraic curves
А. В. Михайлов University of Leeds, School of Mathematics
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Эта страница: | 258 |
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Аннотация:
On 17/10/2018, on this seminar V.M.Buchstaber has presented our construction of
integrable systems determined by the symmetric power ${\rm Sym }^N (V_g)$ of a
plane algebraic curve $V_g\subset \mathbb{C}^{2}$ [bm18].
I have found a simple and useful generalisation of the above construction to
the case of $N$–th
symmetric power of $V_g\subset\mathbb{C}^{k}$ (for arbitrary
$k\in\mathbb{Z}_{>0}$). It also yields new results for symmetric powers
${\rm Sym }^N (V_g)$ of an
algebraic curve $V_g\subset \mathbb{C}^{2}$.
[bm18] V. M. Buchstaber and A. V. Mikhailov, Polynomial integrable
Hamiltonian systems on symmetric powers of plane algebraic
curves, UMN, December (2018).
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