多复变与复几何研讨班：On the Hodge theory of Toroidal embeddings and corresponding Vanishings

中科院数学与系统科学研究院

数学研究所

学术报告

多复变与复几何研讨班

报告人：魏传豪  研究员（西湖大学）

题  目：On the Hodge theory of Toroidal embeddings and corresponding Vanishings

时  间：2024.05.21（星期二）16:00-17:00

地  点：晨兴110

摘 要：Deligne's logarithmic comparison theorem and the degeneracy of the spectural sequence of logarithmic de Rham complex gives the mixed Hodge structure of a projective smooth variety with a normal crossing boundary divisor. In this talk, we will try to build a similar theory on toroidal embeddings. In particular, we will show the E_1-degeneracy of the spectral sequence of the logarithmic de Rham complex of any toroidal triple. This gives a geometric proof of a more general version of Danilov's conjecture.