Integrable systems related to triangulated categories

March 21, 2006    9:30-10:30
Speaker: Alexey Bondal (Steklov Mathematical Institute)

Abstract:

The study of the Euler bilinear form on the Grothendieck group of a triangulated category with a complete exceptional collection lead to a pair of integrable systems. We shall show that the corresponding motion develops along Prym varieties of spectral curves. Relations to Langlands duality and mirror symmetry will be discussed.