Automorphism and Cohomology
发布时间：2016年10月25日
浏览次数：10416
发布者: Ningbo Lu
主讲人： Xuanyu Pan (Washington University in St. Louis)
活动时间： 从 2016-01-04 15:30 到 17:00
场地： Room 82J04,Jiayibing Building,Jingchunyuan 82, BICMR
In this talk, I will talk about the work of mine and joint work with Xi Chen and Dingxing Zhang on automorphism and cohomology of Fano varieties of lines of cubics and complete intersections.
More precisely, we prove the automorphism groups act faithfully on the cohomology groups. As a result, we classify the automorphism groups of cubic fourfolds of small Hodge groups. The poof involves equivariant Kodaira Spencer map, equivariant deformations, Hyperkahler structure on Fano variety of lines, Bloch’s semi-regularity in mixed characterisitic, vanishing cycles and lattice theory. At the end, I will talk about the work of infinitesimal Torelli theorem in positive characterisitic.
Reference: Automorphism and Cohomology I et II (Arxiv). Notes on Infinitesimal Torelli theorem in Positive Characterisitic.
More precisely, we prove the automorphism groups act faithfully on the cohomology groups. As a result, we classify the automorphism groups of cubic fourfolds of small Hodge groups. The poof involves equivariant Kodaira Spencer map, equivariant deformations, Hyperkahler structure on Fano variety of lines, Bloch’s semi-regularity in mixed characterisitic, vanishing cycles and lattice theory. At the end, I will talk about the work of infinitesimal Torelli theorem in positive characterisitic.
Reference: Automorphism and Cohomology I et II (Arxiv). Notes on Infinitesimal Torelli theorem in Positive Characterisitic.
