Homological mirror symmetry for Brieskorn-Pham singularities

Homological mirror symmetry for Brieskorn-Pham singularities

Tue, 19/05/2009
15:45 		Kazushi Ueda (Oxford and Osaka) Algebraic and Symplectic Geometry Seminar Add to calendar L3
Homological mirror symmetry for Brieskorn-Pham singularities
A polynomial $ f $ is said to be a Brieskorn-Pham polynomial if $  f = x_1^{p_1} + ... + x_n^{p_n} $ for positive integers $ p_1,\ldots, p_n $. In the talk, I will discuss my joint work with Masahiro Futaki on the equivalence between triangulated category of matrix factorizations of $ f $ graded with a certain abelian group $ L $ and the Fukaya-Seidel category of an exact symplectic Lefschetz fibration obtained by Morsifying $ f $.