20230428 刘文飞 On symplectic automorphisms of genus 2 fibrations acting on 0-th Chow group

题目：On symplectic automorphisms of genus 2 fibrations acting on 0-th Chow group

报告人: 刘文飞 (厦门大学)

时间： 2023-4-28 10:30-11:30

地点: 数学院425

邀请人：孙鹏

摘要: A conjecture of Bloch predicts that the symplectic automorphisms of a complex smooth projective surface S act trivially on the Albanese kernel of the 0-th Chow group. Here an automorphism of S is called symplectic if it acts trivially on H^0(S, K_S). This has been verified for finite order symplectic automorphisms of K3 surfaces by Voisin and Huybrechts, and for surfaces with Kodaira dimension one and \chi(\mathcal{O}_S) not equal to 1 by Du and Liu. In this talk, I will report some work in progress with Jiabin Du on surfaces with a genus 2 fibration.

报告人简介：刘文飞，德国Bayreuth 大学（2010年）和北京大学（2011年）博士，现任厦门大学教授，国家级青年人才计划入选者, 主要从事代数几何的理论研究。刘文飞教授对稳定曲面的地理问题、代数曲面自同构的刚性、代数曲面的模空间等作了比较深入的研究，成果发表在Trans. Amer. Math. Soc.、Adv. Math.、Compos. Math.、J. Math. Pures Appl.等著名期刊杂志。