Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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On the signature of the Ricci curvature on nilmanifolds(*)

Ramiro Lafuente

created by daniele on 11 Jan 2021
modified on 12 Jan 2021

Firenze (online)

(*) to be confirmed

Seminario di Geometria Differenziale e Analisi Complessa del Dipartimento di Matematica e Informatica "Ulisse Dini" dell'Università di Firenze


In this talk we will explain the solution to the following problem: Given an arbitrary nilpotent Lie group, determine all possible signatures of the Ricci curvature of left invariant metrics on it. The solution involves constructing invariant metrics with many zeros in their Ricci curvature, for which we use ideas from GIT, and then an Implicit function theorem argument.

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