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ВИДЕОТЕКА |
Международная конференция «Анализ и особенности», посвященная 75-летию со дня рождения Владимира Игоревича Арнольда
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Intersections of quadrics and Hamiltonian-minimal Lagrangian submanifolds [Пересечения квадрик и гамильтоново-минимальные лагранжевы подмногообразия] Т. Е. Панов |
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Аннотация: Hamiltonian minimality (H-minimality) for Lagrangian submanifolds is a symplectic analogue of minimality in Riemannian geometry. A Lagrangian immersion is called H-minimal if the variations of its volume along all Hamiltonian vector fields are zero. We study the topology of H-minimal Lagrangian submanifolds By applying the methods of toric topology we produce new examples of H-minimal Lagrangian submanifolds with quite complicated topology. The interpretation of our construction in terms of symplectic reduction leads to its generalisation providing new examples of H-minimal submanifolds in toric varieties. The talk is based on a joint work with Andrey E. Mironov. Язык доклада: английский |