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學術活動

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Seminars
活動領域代數幾何
微分幾何、幾何分析
活動開始時間2007-07-04 14:00:00
活動結束時間2007-07-04 15:30:00
活動名稱NCTS 10th Year Anniversary Special Lectures:Multiplier Ideal Sheaves and Their Applications to Analysis and Algebraic Geometry
主講者Professor Yum-Tong Siu 蕭蔭堂 院士
(Harvard University; 中研院院士; 美國國家科學院院士)
活動地點Lecture Room A of NCTS 4th Floor, The 3rd General Building, NTHU
附件檔案
連結
備註Abstract:

Multiplier ideal sheaves identify the jet directions where estimates for partial differential equations fail. They were first introduced by Joseph J. Kohn to study the complex Neumann problem for weakly pseudoconvex domains and by Alan M. Nadel to study the existence of Kaehler-Einstein metrics for Fano manifolds. The technique of multiplier ideal sheaves injects in a new way methods of algebraic geometry into problems of analysis. It also opens new channels of applying analysis to problems in algebraic geometry, leading to the solution or partial solution of a number of longstanding open problems in algebraic geometry such as the Fujita conjecture, the deformational invariance of plurigenera, and the finite generation of the canonical ring.
最後更新日期2007-06-22 16:10:20
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