Prof. Claude LeBrun.
Office: Math Tower 3-108.
Office hours: TΘ 2:00--3:30 pm.
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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Illustration: Kummer surface with 16 real nodes. Graphic produced using surf software package.