MathematicalPhysics

Mathematical Physics

Fermilab, January 17, 2000 - March 17, 2000.

Topics: Category Theory, Group Theory, Vector Spaces, Tensors, Associative and Lie Algebras, Topological Spaces, Homotopy and Homology, Measure Space and Integration, Distributions, Manifolds, Differential forms and Stokes' theorem, Fiber Bundles, Lie Groups, Maxwell's equations, Gauge Theories, Gravity.

The idea of this course is to cover both familiar and less familiar topics unified and made easier by a modern mathematical perspective. The course should be suitable for students or anyone wishing to modernize their mathematical knowledge. The prerequisites are minimal. How far we get through the topics will depend on the audience, but, in any case, the level of the course will be rigorous. If you are interested in attending, send an email to gsa_officers@fnal.gov and you'll be put on the mailing list.

Main Text: Mathematical Physics by Robert Geroch (University of Chicago Press). [One copy is on reserve in the Fermilab library].

Location: Curia II.

Meeting Times: Mondays and Wednesdays 6:00 - 6:40 p.m. An additional problem session is TBA.

Brought to you by: The Graduate Student Association.

Equivalence Relations

Groups

Vector Spaces

Tensor Products, Exterior Algebra, Determinants

Topological Spaces

Homotopy, Covering Spaces, Manifolds

De Rham theory, Fiber Bundles

Integration of forms on Manifolds: Stoke's Theorem