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Geometry OpenCourseWare: A Free MIT Graduate Study Course on Geometry

Published Jan 16, 2009

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'Topics in Geometry' is a free OpenCourseWare offered by MIT concentrating on complex geometry as developed by Hitchin. It also and takes a detailed look at Dirac geometry theory. There are no prerequsites for this course, but a background in advance mathematics is recommended. Students who are pursuing mathematics-related degrees, such as the Master of Science degree in Mathematics, will find this graduate-level course helpful.

Topics in Geometry: Course Specifics

Degree Level Free Audio Video Downloads
Graduate Yes No No Yes

Lectures/Notes Study Materials Tests/Quizzes
Yes Yes No

Topics in Geometry: Course Description

Professor Marco Gualtieri from the Massachusetts Institute of Technology's Department of Mathematics teaches this free course. 'Topics in Geometry' covers a wide range of advance topics, including linear algebra, generalized Kahler Geometry, local structure theory for generalized complex structures and Hodge decomposition theorem for generalized Kahler structures. In addition, there is an overview of Hermitian geometry and geometry of Lie groups. While a general introduction to advanced topics in geometry, the course does place an emphasis on the study of Dirac geometry. Students will study the work of Courant, Severa and Weinstein, three pioneers in this specialized area of geometry. The problem sets that featured throughout the course are intended to ensure that students full comprehend the material.

The materials for this course includes class lecture notes which are provided in PDF files that can be downloaded on your computer, a reading list of articles and a comprehensive set of assignments. If you are interested in taking this course, visit the topics in geometry course page.

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