BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Some rigidity results for charged Riemannian manifolds
DTSTART:20251205T123000Z
DTEND:20251205T133000Z
DTSTAMP:20260424T154200Z
UID:indico-event-14903@indico.math.cnrs.fr
DESCRIPTION:Speakers: Abraao Mendes (Université Fédérale d'Alagoas)\n\n
 In this lecture\, we explore the geometric consequences of equality in Gib
 bons' area-charge inequality for stable minimal 2-spheres $\\Sigma^2$ in t
 he context of the Einstein--Maxwell equations. We show that\, under suita
 ble energy (curvature) assumptions\, saturation of the inequality $$ \\mat
 hcal{A}(\\Sigma) \\ge 4\\pi \\mathcal{Q}_{\\rm E}^2 $$ forces a rigid geom
 etric structure in a neighborhood of the surface $\\Sigma^2$. In particula
 r\, the electric field $E$ must be normal to the foliation\, and the local
  geometry becomes isometric to a Riemannian product.\nWe then extend these
  rigidity phenomena to both compact and non-compact time-symmetric initial
  data sets with boundary\, establishing sharp area-charge inequalities and
  examining the resulting rigidity of the boundary and ambient geometries 
 under appropriate hypotheses\, including cases with non-spherical boundary
  topology. As time permits\, we will conclude with several model examples
  illustrating these results.\n\nhttps://indico.math.cnrs.fr/event/14903/
LOCATION:1180 (Bât. E2) (Tours)
URL:https://indico.math.cnrs.fr/event/14903/
END:VEVENT
END:VCALENDAR