| 概要 | I will introduce superpotentials and the Calabi-Yau condition in Algebra.
These in turn are connected to moduli spaces of objects in some three
dimensional categories, such as categories of modules over some local
singularities. A folklore result states that fundamental group algebras for
K(pi,1) manifolds are Calabi-Yau algebras. I will discuss the links between
the Algebra, Geometry and Topology, and present a counterexample to
Ginzburg's conjecture that these algebras are superpotential algebras. |