 |
MAT 644 |
Prof. Claude LeBrun.
Office: Math Tower 3-108.
Office hours: TΘ 2:00--3:30 pm.
|
MAT 644 |
Prof. Claude LeBrun.
Office: Math Tower 3-108.
Office hours: TΘ 2:00--3:30 pm.
This will be the first 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. We will be particularly interested in the geometrization of 4-manifolds by metrics such as Einstein metrics and self-dual metrics, and one of the main goals of the course will be to outline the proofs of a number of existence and non-existence results regarding these special Riemannian metrics.
The lectures will presuppose a basic, core knowledge of Riemannian geometry, roughly at the level of MAT 568. Some familiarity with Kähler metrics, say at the level of MAT 545, would also be helpful.
Grades will be based upon class participation.
The Professor may be reach by e-mail by
.
This is the best method for making appointments outside normal
office hours.
Illustration: Kummer surface with 16 real nodes. Graphic produced using surf software package.
DSS advisory.
If you have a physical, psychiatric,
medical, or learning
disability that could adversely affect
your ability to carry
out assigned course work, please contact
the Disabled Student
Services office (DSS),
Educational Communications Center
(ECC) Building, room 128, (631) 632-6748.
DSS will
review your
situation and determine, with you, what accommodations are
necessary and appropriate. All information and documentation
regarding
disabilities will be treated as strictly confidential.
Students for whom special evacuation procedures might be necessary
in
the event of
an emergency are encouraged to discuss their
needs with both
the instructor and with DSS.
Important information regarding these issues
can also be found at the following web site: