9 may 2018 -- 14:30
Aula 3, Dipartimento di Matematica, Torino
Seminario di Geometria Complessa/Analisi Geometrica del Dipartimento di Matematica dell'Università di Torino
Abstract.
In this talk, we will discuss the behavior of the Chern- Ricci flow (CRF) on Hermitian manifolds. The Chern-Ricci flow is an evolution equation for Hermitian metrics on complex manifolds. In particular, we investigate the Chern-Ricci flow on Inoue surfaces which are non-Kahler compact complex surfaces of type Class VII. We show that, after an initial conformal change, the flow always collapses the Inoue surface to a circle at infinite time, in the sense of Gromov-Hausdorff. Similar convergence result also holds on the Oeljeklaus-Toma manifolds, an analog of Inoue surface.