活动地点：

活动类型：研究生课程

主讲人：ANDREY TODOROV

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活动内容：

Syllabus of the Course "Deformation Theory"

(1) Elementary material from Linear Algebra; Complex Structure, Symplectic Form, Deformation of a Complex Structure on Vector Space.
(2) Deformation Theory of Abelian Varieties.
(3) Abelian Varieties with real and complex multiplication.
(4) Moduli spaces of Abelian Varieties with a real multiplication.
(5) Solution of Beltrami equation and TeichmÄuller Theory.
(6) Kodaira-Spencer-Kuranishi Theory of Deformations.
(7) Local Deformation Theory of CY Manifolds.
(8) Period Matrices, Torelli Problems-Curves, K3 Surfaces and Hyper-KÄahler Manifolds.