250089 VO Mathematics of String Theory I (2008W)

The goal of this course is to serve as an elementary introduction into the toolsof modern working algebraic geometer on the example of String Theory. Some knowledge of topology and algebra will be assumed.
We will start rather slow but on examples we will reach the state of art of
subjects like Homological Mirror Symmetry, Generalized Hodge Theory and
Symplectic Geometry. Our purpose will be to bring students to somewhat
beginners research level in the above subjects in any leading Europe or USA University. Notes will be distributed and every student will be given opportunity to make a small research presentation at the end.