After completing the course the student should <ul> <li>master the geometrical tools that are used widely in modern quantum feld theory and string theory;</li> <li>understand the geometrical notions behind the description of gauge theories;</li> <li>be able to analyse simple topological and geometrical problems;</li> <li>be able to perform simple manipulations with connections and characteristic classes on fibre bundles.</li> </ul>
Topology, smooth manifolds, principal and vector bundles, connections on fibre bundles, characteristic classes and their application in physics, Yang-Mills theory, index theorems
Lectures and classes.
Hand-in problems during the course.
The course is given in coordination with the third-cycle programmes.