Location: HH 312
Speaker: Yulun Xu (University of Toronto)
Title: Uniqueness of Poincaré type extremal Kähler metrics
Abstract: Let D be a smooth divisor on a closed Kähler manifold X. Suppose that Aut_0(D)=Id. We prove that the Poincaré type extremal Kähler metric with a cusp singularity at D is unique up to a holomorphic transformation on X that preserves D. This generalizes work of Berman–Berndtsson from closed manifolds to some complete and noncompact manifolds.
