Valid Until: 2025-01-15 23:59
Abstract: In this talk, we will first establish a very general ddbar-lemma, together with a decomposition theorem for currents with values in a (singular) Hermitian line bundle. As a corollary, we will establish the Kähler version of an injectivity theorem due to O. Fujino in the projective case, as well as some results concerning the invariance of the plurigenera conjecture in the Kähler setting. This work is a collaboration with Mihai Paun.
Bio: Junyan Cao works in the domain of complex geometry. After obtaining his PhD degree in Grenoble in 2013, he was a Maître de conférence at Sorbonne University and became a professor at Université Côte d’Azur in 2019.