2010 Spring MATH 268-01
Bulletin Course Description Lie groups and related topics, Hodge theory, index theory, minimal surfaces, Yang-Mills fields, exterior differential systems, harmonic maps, symplectic geometry. Instructor: Staff
(Instructor named in bulletin description above may not be current. For current instructor, see listing below.)
Title DIFFERENTIAL GEOMETRY Department MATH Course Number 2010 Spring 268 Section Number 01 Primary Instructor Bray,Hubert Prerequisites Prerequisite: Mathematics 267 or consent of instructor.
Synopsis of course content
This course will cover selected topics in three areas: scalar curvature and its relationship to global properties of manifolds, geometric analysis applications to general relativity including black holes and singularities, and geometric studies of the axioms of general relativity and how this relates to dark energy and dark matter, which together are thought to compose 96% of the mass of the universe. Other topics may be covered as requested by students.
Textbooks
TBA.
Assignments
Occasional homework assignments
Exams
none
Term Papers
none
Grade to be based on
participation, homeworks, and potentially a short presentation.
Additional Information
Students may be asked to present certain topics.
Please email bray@math.duke.edu if you have any questions.
