题目：DR-indecomposible of Some Semi-stable Reduction over the Witt Ring

报告人：申屠钧超 博士 （上海数学中心）

地点：致远楼107室

时间：2017年04月28日（周五）09：40~10：40

【摘要】In this talk I will introduce Deligne-Illusie's algebraic proof of the Kodaira vanishing theorem and the E1 degeneracy theorem of the Hodge-de Rham spectral sequence. The decomposition theorem of Deligne-Illusie is the key to the proof mentioned. To understanding the Hodge theory of degenerated varieties over a positive characteristic field, Illusie posts a problem of decomposability of the log de Rham complex in the case of semistable reduction. We give a geometrical characterization of this problem and construct negative answers to Illusie's problem in any dimension larger than one and in any positive characteristics. This is a joint work with Mao Sheng.

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