加州大学洛杉矶分校刘克峰教授学术报告

发布时间: 2017-09-11 16:51:26 浏览次数: 1002 供稿:数学系

演讲人:刘克峰教授(美国加州大学洛杉矶分校)

讲座时间:2017-09-13 10:00:00

讲座地点:数学科学研究院(环境学院楼)316会议室

讲座内容

报告题目:Solving equations with Hodge theory

报告摘要:We will discuss several new applications of Hodge decomposition. First by using operators from $L^2$-Hodge theory we present a simple method to solve the Beltrami equations for quasi-conformal maps, and give a simple proof of the Newlander-Nirenberg theorem for the existence of complex analytic coordinates for integrable almost complex structures.Then we use operators from Hodge theory to give a closed formula for certain canonical sections of Hodge bundles on marked and polarized moduli spaces of projective manifolds.

演讲人简介