14 jan 2021 -- 14:30
DIMaI, Firenze (online)
Seminario PRIN2017 "Real and Complex Manifolds: Topology, Geometry and Holomorphic Dynamics"
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.