ICTP Mathematics Seminar - Friday 1 September 2023, at 14:00 (Jorge Lauret)/hybrid seminar

[ICTP Math Section]

_ICTP MATHEMATICS SEMINAR_

_Friday 1 September 2023, at 14:00 (Rome Time)
_

Hybrid Seminar

Venue: Leonardo Building - Luigi Stasi Seminar Room

Online attendees:

Please register in advance for this meeting:
https://zoom.us/meeting/register/tJwtd-qhrj0vHN3ebbfRccva7AtSIJLWhC6K

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Speaker: Jorge Lauret (National University of Córdoba, Argentina)

Title: Stability of homogeneous Einstein manifolds


Abstract: Given a compact differentiable manifold M, the critical points 
of the total scalar curvature functional Sc on the space of all unit 
volume Riemannian metrics on M are called Einstein metrics and play a 
fundamental role in Differential Geometry and Physics. Among Einstein 
metrics with positive scalar curvature, those which are stable as 
critical points of Sc (i.e., negative definite Hessian) on the subspace 
of all constant scalar curvature metrics, and in particular local 
maxima, seems to be extremely rare.

In this talk, after some general preliminaries, we will focus on the 
case when the metrics and the variations are G-invariant for some 
compact Lie group G acting transitively on M. The standard metrics 
(i.e., defined by minus the Killing form of G) and Kähler metrics which 
are Einstein will be specially treated.

This is joint work with Emilio Lauret (Universidad Nacional del Sur and 
INMABB (CONICET), Argentina) and Cynthia Will (Universidad Nacional de 
Córdoba and CIEM (CONICET), Argentina).

/https://indico.ictp.it/event/10521/

-- 
Koutou Mabilo
ICTP Mathematics Group
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