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Seminar "Complex analysis in several variables" (Vitushkin Seminar)
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The tube over the future light cone as a model for everywhere Levi-degenerate hypersurfaces in complex space I. G. Kossovskii Masaryk University, Brno |
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Abstract: In 1907, H.Poincare raised the problem to classify (locally) real hypersurfaces in complex space, up to local biholomorphisms. In the case when the Levi form is everywhere nondegenerate (i.e. the distribution of complex tangents is everywhere contact), the problem was solved in the work of E. Cartan, N. Tanaka, S.-S. Chern and J. Moser. In the Levi degenerate case, the problem appears to be much more difficult. Of particular interest here is the category of everywhere Levi-degenerate hypersurfaces, which though can't be reduced to hypersurfaces of smaller dimension. Such hypersurfaces appear for the first time in the space Website: https://mi-ras-ru.zoom.us/j/6119310351?pwd=anpleGlnYVFXNEJnemRYZk5kMWNiQT09 * ID: 611 931 0351. Password: 5MAVBP. |