Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Hermitian curvature flow on locally homogeneous complex surfaces

Francesco Pediconi (Università di Firenze)

created by daniele on 09 Dec 2020

14 jan 2021 -- 14:30

DIMaI, Firenze (online)

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


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.

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