Volker Braun

Title: Numerical Investigations into Calabi-Yau Compactifications

Abstract: Using balanced metrics and gauge connections as an
approximation scheme promises a numerical method to perform the
Kaluza-Klein reduction. After calculating the metric, we compute the
spectrum of the scalar Laplace operator on Calabi-Yau threefolds. For
example, this gives new numerical evidence for the SYZ conjecture.
Next, I will review the balanced approach towards Hermitian
Yang-Mills connections. As an application, we can numerically
determine the region of stability of a vector bundle in the Kahler
moduli space.