se agrega Plenaria de Monica Clapp

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