04-18【王 欢】物质科研楼C1124 Geometry&Topology Seminar系列讲座之058

发布者:王欣发布时间:2023-04-13浏览次数:10

告题目:Holomorphic Morse Inequalities Revisited

报告人:王欢(意大利国际理论物理中心) 

时间:2023年4月18日    14:00 -15:00    

地点:物质科研楼C1124

报告摘要:


The history of holomorphic Morse inequalities was initiated from the seminal work of J.-P. Demailly, which was influenced by the Witten’s analytic proof of classical Morse inequalities and Siu’s solution of Grauert-Riemenschneider conjecture on Moishezon manifolds. These inequalities provide a flexible way to produce holomorphic sections of high tensor powers of line bundle under mild positivity assumption and have various generalizations in complex geometry. We will give an introduction on this subject and our related results.