Esnault - Viehweg Vanishing Theorem for Complex manifolds in Fujiki's class and question on its generalization
Người báo cáo: Trần Phan Quốc Bảo (Đại học Công nghệ Thông tin)
Thời gian: 16:30, thứ năm, 19/05/2022

Tóm tắt: In this talk, I will present the work of Esnault - Viehweg on the Vanishing Theorem of Complex Manifolds in class C (Fujiki's class), which is also the generalization of the famous Kawamata - Viehweg Vanishing Theorem, a cornerstone in the modern construction of Minimal Model Program and related problems. In particular, we will see that Esnault - Viehweg Vanishing Theorem is essential to rely on Hilbert - Riemann Correspondence and Log De Rham Cohomology. From the above technique, one can ask if we can generalize the result to a relative version over the base Spec C[[t]]/I, prior to the existence of relative Riemann-Hilbert correspondence. Interestingly, Kawamata - Viehweg vanishing theorem holds true for algebraic varieties over C[[t]], by Takumi Murayama, so asking whether if there is any generalized version of Esnault - Viehweg Vanishing Theorem in this setting is natural.

Meeting ID: 899 3129 7203

Passcode: 185207