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SUMMARY:Marcos Petrúcio Cavalcante (Univ. Fed. de Alagoas)
DTSTART:20250225T133000Z
DTEND:20250225T143000Z
DTSTAMP:20260423T010748Z
UID:GPL/43
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GPL/43/">Sta
 bility of extremal domains</a>\nby Marcos Petrúcio Cavalcante (Univ. Fed.
  de Alagoas) as part of Geometry and Physics @ Lisbon\n\nLecture held in 6
 .2.33 (Seminar Room\, Math\, FCUL).\n\nAbstract\nA domain in a Riemannian 
 manifold is said to be extremal if it is a critical point of the first eig
 envalue functional under volume-preserving variations. From this variation
 al characterization\, we derive a natural notion of stability. In this tal
 k\, we classify the stable extremal domains in the 2-sphere and in higher-
 dimensional spheres when the boundary is minimal. Additionally\, we establ
 ish topological bounds for stable domains in general compact Riemannian su
 rfaces\, assuming either nonnegative total Gaussian curvature or small vol
 ume. This is joint work with Ivaldo Nunes (UFMA).\n
LOCATION:https://researchseminars.org/talk/GPL/43/
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