题目：Formality of the de Rham complexes of smooth varieties in positive Characteristic

报告人：张泽宝，重庆理工大学

时间：4月7日（周一）上午9：30-11：00

地点：数学科学学院新楼312

摘要：Deligne and Illusie showed that the de Rham complex of a W_2-liftable smooth variety over a perfect field of characteristic p>0 is formal if its dimension is less than p. However, if the dimension exceeds p, the W_2-lifting condition is not sufficient to guarantee the formality of the de Rham complex. Nevertheless, Petrov recently demonstrated that the de Rham complex of a quasi-F-split smooth variety is formal. In this talk, we present another class of smooth varieties, called ℓ-Ω-split varieties, whose de Rham complexes are also formal.