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СЕМИНАРЫ |
Семинар лаборатории теории функций "Современные проблемы комплексного анализа"
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Flat structure of meromorphic connections on Riemann surfaces K. Kh. Rakhimov University of Pisa |
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Аннотация: One of the main open problems in local dynamics of several complex variables is the understanding of the dynamics, in a full neighborhood of the origin, of holomorphic germs tangent to the identity. In dimension one, the Leau-Fatou flower theorem provides exactly such an understanding. A few generalizations to several variables of the Leau-Fatou flower theorem have been proved, but none of them was strong enough to be able to describe the dynamics in a full neighborhood of the origin. Abate and Tovena, in 2011, has been able to show a strong relation between dynamics of time-1 maps of homogeneous vector fields in Язык доклада: английский |