中科院数学与系统科学研究院
数学研究所
学术报告会
报告人:申屠均超 博士(复旦大学上海数学中心)
题 目:de Rham Complex in semi-stable reduction
时 间:2016.05.05(星期四), 14:30--15:30
地 点:数学院南楼N913室
Abstract:
In a remarkable paper in 1987, Delinge and Illusie proved the decomposition theorem of de Rham complex and used it to give an algebraic proof of the degeneration of the de Rham-Hodge spectral sequence and the Kodaira vanishing theorem. Later, K.Kato generalized the decomposition theorem to semistable reduction families over a pure characteristic base. In this talk, I will introduce their works and study the decomposition of de Rham complex in semistable reduction over a mixed characteristic DVR. This is a joint work with Mao Sheng.