Geometric Methods in Physics 2

Lecturer:

Jiří Tolar (gar.)

Tutor:

Jan Vysoký, Jiří Tolar (gar.)

Supervisor:

Department of Physics

Synopsis:

Geometry of classical gauge field theories. Principal and associated bundles. Connection and curvature. Dirac's magnetic monopole.

Requirements:

02GMF1

Syllabus of lectures:

1. - 4. Geometry of classical gauge field theories. Lie groups and algebras.

5. - 8. Principal and associated bundles.

9. - 12. Connection and curvature.

13. Dirac's magnetic monopole.

Syllabus of tutorials:

Solving examples on the following topics:

1. - 4. Geometry of classical gauge field theories. Lie groups and algebras.

5. - 8. Principal and associated bundles.

9. - 12. Connection and curvature.

13. Dirac's magnetic monopole.

Study Objective:

Knowledge:

Geometry of classical gauge field theories.

Skills:

Application of contemporary geometrical methods in theoretical physics

Study materials:

Key references:

[1] M. Nakahara: Geometry, Topology and Physics, IOP Publishing, Bristol 1998

Recommended references:

2] C.J. Isham: Modern differential geometry for physicists, World Scientific, Singapore 1999

Note:

Time-table for winter semester 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans:

• FNSPE Prospectus MGR level (!)