Hermitian curvature flow on locally homogeneous complex surfaces

Abstract: The Hermitian curvature flow ("HCF" shortly) is a strictly parabolic flow of Hermitian metrics, introduced by Streets and Tian, which evolves an initial Hermitian metric in the direction of its second Chern-Ricci curvature tensor with some first-order terms in the torsion. In this talk, we study the long-time behavior of locally homogeneous non-Kähler solutions to the HCF on compact complex surfaces and, after a suitable normalization, we compute the Gromov-Hausdorff limit of those which are immortal. This is a joint work with Mattia Pujia.

Mathematics

Audience: researchers in the topic

Comments: Seminario PRIN2017 "Real and Complex Manifolds: Topology, Geometry and Holomorphic Dynamics"

Geometry Seminar - University of Florence

Series comments: If you are interested in attending, please send a message to daniele.angella@unifi.it or francesco.pediconi@unifi.it.