Geometry and Topology Seminar: Higgs bundles and SYZ geometry
Speaker: Charles Ouyang
Abstract: Special Lagrangian 3-torus fibrations over a 3 dimensional base play an important role in mirror symmetry and the SYZ conjecture. In this talk, we discuss the construction via Higgs bundles of an infinite family of semi-flat Calabi-Yau metrics on special Lagrangian torus bundles over an open ball in R^3 with a Y-vertex deleted. This is joint work with S. Heller and F. Pedit.