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

Romina Arroyo

created by raffero on 29 Sep 2021
modified on 18 Oct 2021

2 nov 2021 -- 17:00

Differential Geometry Seminar Torino (online)

Abstract.

In this talk I will present a joint work with Ramiro Lafuente (The University of Queensland) in which we completely describe all possible signatures for the Ricci curvature of left-invariant metrics on nilmanifolds. To do that, we use ideas from GIT to construct a metric whose Ricci curvature has a signature with as many zeros as possible, and then we apply an Implicit Function Theorem argument.

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The link of the virtual room will be sent one day before the talk to all registered participants. To register, please send an e-mail to dgseminar.torino@gmail.com

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