Title: The Kahler Ricci flow on complete non-compact Kahler manifolds and applications
Speaker: Albert Chau (University of British Columbia)
Abstract: The Ricci flow is a geometric evolution equation prescribing a canonical way to deform an initial Riemannian metric g on a smooth manifold M. In many cases, the flow improves the geometry of g allowing fundamental conclusions to be drawn on underlying structure of M itself. In this talk I will focus on the case when M is a non-compact complex manifold and g is Kahler. I will address basic analytic questions such as maximal existence time of the flow, and the flow of unbounded curvature initial metrics. Connections will be drawn to Yau's uniformization conjecture which states that a complete non-compact Kahler manifold with positive bisectional curvature is biholomorphic to Cn. The talk will is based on joint work with Luen Fai Tam and Ka Fai Li.
