Jueves 19 de abril de 2018 - 14:30 hs

Evolution of Hermitian metrics by geometric flows on Lie groups

Expositor: Mattia Pujia (Dipartimento di Matematica "Giuseppe Peano" - Università di Torino)

Resumen: Choose the right flow equation to evolve Hermitian metrics is essential to have good behaviour of the solutions. For this reason we will focus on the Hermitian curvature flow (HCF). It turns out that, when restricted to complex unimodular Lie groups, HCF is related to a component of the Ricci flow, which leads to long-time existence results. Among others, existence of solitons and convergence to them will be discussed. It will also be shown a one to one correspondence between complex Lie groups which are semisimple and static metrics. In the end, existence and evolution of special Hermitian metric on Lie groups will be discussed.

Lugar: Aula 27, FaMAF

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