学术活动

De Rham decomposition theorem with intersection condition—盛茂教授(中国科学技术大学)

作者:   来源:  时间:2020-09-18

  题目:De Rham decomposition theorem with intersection condition

  报告人:盛茂  教授 (中国科学技术大学)

  Abstract:

  Deligne-Illusie proved that the Frobenius pushforward of the de Rham complex is decomposable in the derived category under suitable conditions. It is called the de Rham decomposition theorem, that is the key for an algebraic proof of the E_1 degeneration of the Hodge to de Rham spectral sequence over the field of complex numbers. In their nonabelian Hodge theory in positive characteristic, Ogus-Vologodsky established the de Rham decomposition theorem with coefficients, that generalizes Deligne-Illusie's result in a far reaching way. In my talk, I shall report a further generalization of Ogus-Vologodsky's decomposition theorem, that takes care of an intersection condition at infinity. This work was motivated by Gabber's purity theorem for perverse sheaves, and Zucker, Cattani-Kaplan-Schmid and Kashiwara-Kawai's works on intersection cohomogies of variations of Hodge structure. This is a joint work with Zebao Zhang.

  时间:2020年9月18日(周五)  下午14:00-15:30

  地点:线上腾讯会议(会议号:318 131 441 密码: 6890)

  联系人:童纪龙