Geometric flows of Hermitian metrics on Lie groups

Início: 28/06/2024 17:00

Término: 28/06/2024 18:00

Palestrante: Luigi Vezzoni (University of Torino)

E-mail do Palestrante: luigi.vezzoni@unito.it

Resumo: The talk focuses on geometric flows of Hermitian metrics on non-Kähler manifolds, paying particular attention to the family of Hermitian curvature flows introduced by Streets and Tian. It will be shown that, under suitable assumptions, a Hermitian Curvature flow starting from a left-invariant Hermitian metric on a Lie group has a long time solution converging to a soliton, up to renormalization. The study of solitons and static solutions of geometric flows on Lie groups will be also addressed. The last part of the talk is about a work in progress on the Second Chern-Ricci flow on complex parallelizable manifolds. The results are in collaboration with Lucio Bedulli, Nicola Enrietti, Anna Fino, Ramiro Lafuente and Mattia Pujia.