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ВИДЕОТЕКА |
27th International Conference on Finite and Infinite Dimensional Complex Analysis and Applications
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Tropical Hodge Theory Yu. V. Eliyashev Department of Mathematics, National Research University "Higher School of Economics", Moscow |
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Аннотация: The Hodge theory on complex manifolds is a classical example of application of analytical methods in algebraic geometry. One of the main ideas of the tropical geometry is that there is should be a tropical analog of an object from the complex geometry. Following this idea Lagerberg introduced tropical currents and differential forms, Itenberg, Katzarkov, Mikhalkin, Zharkov introduced tropical cohomology theory. Based on these works, Jell, Shaw, Smacka constructed tropical de Rham cohomology theory. I my talk I will discuss how to construct a Hodge theory on Tropical varieties and how it resembles classical Hodge theory. Язык доклада: английский |