MAT 644 
Topics in Differential Geometry 
Fall 2017 

TΘ 11:30-12:50
Physics P-123

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

Twistor Methods in Differential Geometry

This will be the first semester of a year-long course on twistor correspondences in Riemannian and pseudo-Riemannian geometry. The main focus of the Fall semester will be the Penrose correspondence for anti-self-dual 4-manifolds. We will also explore anti-self-dual 4-manifolds from several other points of view. Mastering this paradigmatic case will then prepare us for explorations of twistor correspondences in various other settings.

The lectures will presuppose a basic knowledge of Riemannian geometry, roughly at the level of MAT 568. Some familiarity with complex manifolds, say at the level of MAT 545, could also be extremely helpful.

Field trip: On Oct. 24 and 26, the class will attend the SCGP workshop instead of meeting in our usual classroom.

Grades will be based upon attendance and class participation.

The Professor may be reach by e-mail by .
This is the best method for making appointments outside normal office hours.

Illustration: Ruling lines on a quadric surface.

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