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活动类型：学术报告
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Reading Seminar
Text:"An Introduction to Things dbar", By Bo Berndtsson, in "Analytic and Algebraic Geometry: Common Problems, Different Methods",
edited by Jeffery D. McNeal, Mircea Mustata.
Time: Each Sunday evening from Nov. 11，19：00
Place: Room 201 of CMS
Goal: Serve as an introduction to the weighted L^2-estimates for the dbar-equation, by Kodaira, Andreotti-Vesentini,and, in the most complete form Hormander. Get preliminaries to explore more recent core topics in complex (algebraic) geometry, such as Berndtsson's work on curvatures of vector bundles associated to holomorphic fibrations, Berndtsson-Paun's work on twisted relative (pluri-)canonical bundles and its applications to subadjunction, Mourougane-Takayama's work on higher direct images,Siu's proofs of finite generation of canonical ring and abundance conjecture, etc. Combining our recent work on deformation theory, we expect more understanding of these topics.
Schedule:
Lecture 1 The one-dimensional case, By Jie Tu
Lecture 2 Functional analytic interlude, By Xin Ge
Lecture 3 The dbar-equation on a complex manifold, By Jie Tu and Xin Ge
Lecture 4 The Bergman kernel, By Heng Shang
Lecture 5 Singular metrics and the Kawamata-Viehweg vanishing theorems, By Deliang Han
Lecture 6 Adjunction and extension from divisors (Ohsawa-Takegoshi), By Yang Shen
Lecture 7 Deformational invariance of plurigenera, By Sheng Rao
All are welcome!
