报告题目:On rigidity of automorphisms of projective manifolds
报 告 人:刘文飞教授 厦门大学
报告时间:2020年7月2日 9:00-10:00
报告地点:腾讯会议 ID:444 958 402
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校内联系人:孙晓松 sunxs@jlu.edu.cn
报告摘要:
We consider the rigidity problem whether an automorphism of a complex projective manifold is determined by its topological type or not. By looking at the induced action on the cohomology groups, we can give a positive answer to the rigidity problem for the automorphisms surfaces of general type of irregularity at least 3. For other type of surfaces, there exist cohomologically trivial automorphisms and, up to now, we have only partial answers as to whether they are indeed isotopic to the identity. Time permitting, I will also talk about some results and speculations in higher dimensions. The talk is based on joint works, partly on-going, with CAI Jin-Xing, ZHANG Lei, Fabriziao CATANESE, JIANG Zhi and ZHAO Hang.
报告人简介:
刘文飞,现任厦门大学bat365在线平台教授。2004年本科毕业于北京大学bat365在线平台, 2010年和2011年先后获得德国Bayreuth 大学和北京大学博士学位。 2011-2015年先后在德国Mainz大学、bielefeld大学、Hannover大学做博士后研究工作。主要从事代数几何的研究, 在代数曲面的模空间、稳定曲面的地理问题、代数曲面自同构的刚性等方面有深入研究, 并取得了非常好的学术成果。在European Journal of Mathematics, Adv. Math., Trans. Amer. Math. Soc., Math. Z.等期刊发表论文10余篇。主持国家自然科学基金面上项目、青年基金和比勒菲尔德青年基金。