Special Colloquium
Tamás DARVAS
University of Maryland
Geometry on the space of Kaehler metrics and applications to canonical metrics
Abstract: A basic problem in Kahler geometry, going back to Calabi in the 50's, is to find Kahler metrics with the best
curvature properties, e.g., Einstein metrics. Such special metrics are minimizers of well known functionals
on the space of all Kahler metrics H. However these functionals become convex only if an adequate
geometry is chosen on H. One such choice of Riemannian geometry was proposed by
Mabuchi in the 80's, and was used to address a number of uniqueness questions in the theory.
In this talk I will present more general Finsler geometries on H, that still enjoy many of the
properties that Mabuchi's geometry has, and I will give applications related to existence of
special Kahler metrics, including the recent resolution of Tian's related properness conjectures.
Monday November 21, 2016 at 4:00 PM in SEO 636