"Positively Curved Einstein Metrics in Dimension 4"
Abstract: The famous Frankel Conjecture in complex geometry, which was proved by Siu and Yau in the 1981, asserts that the only compact complex n-manifold which admits a Kahler metric of positive (bi)sectional curvature is the complex projective n-space. In this talk, we prove this conjecture in complex dimension 2 under weaker hypotheses: Namely, a compact complex "surface", which admits a "conformally Kahler" metric g of "positive orthogonal holomorphic bisectional curvature" is to the complex projective plane.
Date: Tuesday, April 21, 2015
Place: Mathematics Seminar Room, SA-141
All are most cordially invited.
Tea and biscuits: after the seminar