Calabi-Yau equations, Lattice Green's functions and related problems
by Tony Guttmann
Abstract: This will be a "work in progress" discussion, that originated in some earlier work I did with Larry Glasser on the 4d hypercubic lattice Green's function.
We found a Fuchsian ODE,
but were unable to totally solve it. In recent years a family of 4th order Fuchsian ODEs with special properties have been called Calabi-Yau equations, and hundreds of them have been solved.
Among the solutions is the 4d hypercubic lattice Green's function. This raises the question of the solution of other 4d Green's functions. In a rambling, disconnected and ill-prepared seminar I propose to enlarge on the above.
For More Information: Iwan Jensen I.Jensen@ms.unimelb.edu.au