报告名称:Global methods on solving equations on manifolds
主办单位:BWIN必赢
报告专家:刘克峰教授
专家所在单位:重庆理工大学
报告时间:2021年2月3日上午9:00-10:00
报告地点:腾讯会议,会议号781277480,会议密码123456
专家简介:刘克峰教授, 美国加州大学洛杉矶分校数学系教授,国际顶尖数学杂志《几何与分析通讯》主编。专业方向为微分几何、拓扑、数学物理。荣获全球华人数学最高奖“晨兴数学金奖”和2004年教育部十大科技进展奖。获得国际上著名的谷庚海默奖、全球华人数学家大会银奖、斯隆(Sloan)奖和特曼(Terman)奖等。
报告摘要:We develop a global geometric method to study variations of complex structures over Kahler manifolds. More precisely, by using operators from Hodge theory on a complete Kahler manifold, we obtain closed formulas for holomorphic canonical forms under global variations of complex structures and present several applications including solving the general Belrtami equations and the Kuranishi obstruction equations in deformation theory of complex structures.
邀请人:贺妍