Abstract: This talk mainly concerns deformation invariance of plurigenera, particularly on a question of Demailly whether a smooth family of nonsingular projective varieties admits the deformation invariance of plurigenera. We confirm this more generally for a smooth fiberwise Moishezon family, and also prove a flat family case. And several more recent progresses on Kollar's and Siu's conjectures are also discussed. This talk is mainly based on several joint works with I-Hsun Tsai, Yi Li and Runze Zhang.
Speaker: Sheng Rao received his PhD from Zhejiang University in 2011 and spent two more years there as a postdoctoral fellow. Then, he joined Wuhan University as a lecturer and has been a full professor since 2019. He is interested in several complex variables and complex geometry, especially deformation theory of complex structures.
Zoom: https://us06web.zoom.us/j/82788956364?pwd=L25xSUVkK3c2SzRHMHF1UWI1ejBtZz09
ID: 827 8895 6364
Passcode: 933760
