MAT 683 
Advanced Topics in
Differential Geometry 
Spring 2013 

TΘ 11:30-12:50
Physics P-122

Prof. Claude LeBrun.
Office: Math Tower 3-108.
Office hours: TΘ 2:00--3:30 pm.

The Curvature of Four-Manifolds, II

This is the second semester of a year-long course on the Riemannian geometry of smooth compact 4-manifolds. Our main objective will be to understand how the differential topology of a 4-manifold constrains the curvature of the Riemannian metrics it supports. Topics will include Seiberg-Witten theory, self-dual metrics, Kähler-Einstein metrics, and conformally Kähler geometry.

The lectures will presuppose a familiarity with the material covered last semester in MAT 644. Students who did not attend last semester's lectures should confer with the professor to ensure that they are adequately prepared to follow the course.

Grades will be based upon class participation.

The Professor may be reach by e-mail by .
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DSS advisory. If you have a physical, psychiatric, medical, or learning disability that may affect your ability to carry out the assigned course work, please contact the office of Disabled Student Services (DSS), Humanities Building, room 133, telephone 632-6748/TDD. DSS will review your concerns and determine what accommodations may be necessary and appropriate. All information regarding any disability will be treated as strictly confidential.

Students who might require special evacuation procedures in the event of an emergency are urged to discuss their needs with both the instructor and DSS. For important related information, click here.

Illustration: Kummer surface with 16 real nodes. Graphic produced using surf software package.