Paul Horja

Tuesday, February 18, 2003 and Wednesday, February 19, 2003

Derived categories and mirror symmetry, I&II

Abstract: I will discuss topics related to the homological
mirror symmetry conjecture of Kontsevich. I will show how classical
ideas about hypergeometric functions and singularities of complex
varieties are "mirrored" by more abstract constructions such as derived
categories of coherent sheaves on projective varieties and their
groups of automorphisms. The case of toric varieties will be explained
in detail.