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VIDEO LIBRARY |
International Conference on Complex Analysis Dedicated to the Memory of Andrei Gonchar and Anatoliy Vitushkin
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Real algebraic and real pseudoholomorphic curves S. Yu. Orevkov Steklov Mathematical Institute of Russian Academy of Sciences, Moscow |
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Abstract: According to Gromov's theory, smooth symplectic 2-surfaces in An open question (Symplectic Isotopy Problem): does each connected component of the space of symplectic surfaces contain an algebraic curve? The same question can be asked in the real case and a negative answer will be given in the talk. We shall prove certain inequalities for the complex orientations of plane real algebraic curves which are not satisfied by an infinite series of real pseudoholomorphic curves. |