Skip navigation.

Institute for the Physics and Mathematics of the UniverseWPI

IPMU Mathematics seminar in Kashiwa

Date: May 29, 2008, 15:30 - 17:00
Place: Room 630, 6th floor, Research Centers Building, Kashiwa Campus of the University of Tokyo
Speaker: Masahito Yamazaki (Univ. of Tokyo)
Title: Quivers, brane tilings and toric Calabi-Yau/Sasaki-Einstein geometry
Abstract: In string theory, there is a remarkable conjecture that the study of quivers is in a sense "equivalent" to toric Sasaki-Einstein geometry or its cone toric Calabi-Yau geometry.

In this talk, I will report on possible mathematical formulation of this conjecture. First, I will present categorical formulation of this equivalence (joint work with Kazushi Ueda). In this discussion, bipartite graphs on two-dimensional torus, known as brane tilings, play crucial roles. I will also describe the relation of quivers and brane tilings to Sasaki-Einstein geometry, and explain the equivalence of the "a-function" of quiver with relations and the volume of Sasaki-Einstein manifold.