From 1691523ae07545edd540890e82e984723a95e31d Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Germ=C3=A1n=20Correa?= Date: Wed, 7 Jul 2021 13:38:05 -0300 Subject: [PATCH] se agrega Plenaria de Monica Clapp --- data/conferencias.yml | 8 ++++++-- 1 file changed, 6 insertions(+), 2 deletions(-) diff --git a/data/conferencias.yml b/data/conferencias.yml index 65f63a5..07b0795 100644 --- a/data/conferencias.yml +++ b/data/conferencias.yml @@ -8,8 +8,12 @@ nombre: Jairo Bochi afiliacion: Universidad Católica de Chile web: http://www.mat.uc.cl/~jairo.bochi/ - - titulo: TBA - abstract: '' + - titulo: Symmetrical optimal partitions for the Yamabe equation + abstract: | + The Yamabe equation is relevant in differential geometry. A positive solution to it gives rise to a metric on a Riemannian manifold \((M,g)\), conformally equivalent to its given metric \(g\), which has constant scalar curvature. + An optimal \(n\)-partition for the Yamabe equation is a cover of \(M\) by \(n\) pairwise disjoint open subsets such that the Yamabe equation with Dirichlet boundary condition has a least energy solution on each one of these sets, and the sum of the energies of these solutions is minimal. + In this talk we will consider partitions with symmetries. We will present some results on the existence and qualitative properties of partitions of this type for the standard sphere that give rise to sign-changing solutions of the Yamabe equation with a prescribed number of nodal domains. These results are joint work with Alberto Saldaña (Universidad Nacional Autónoma de México) and Andrzej Szulkin (Stockholm Universitet). + We will also present some results for more general manifolds that were recently obtained in collaboration with Angela Pistoia (La Sapienza Università di Roma). pdf: '' speaker: nombre: Mónica Clapp