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On some applications of a Simons-type formula for spacelike submanifolds in semi-Riemannian warped products
On some applications of a Simons-type formula for spacelike submanifolds in semi-Riemannian warped products
Palestrante: Profa. Maria Rosilene Barroso dos Santos (UFAM)
Resumo: In this talk, we present some applications of a Simons-type formula for spacelike submanifolds in semi-Riemannian warped products. In particular, we consider the cases in which the ambient space is a Robertson–Walker spacetime model, such as the Lorentz–Minkowski, de Sitter, anti–de Sitter, and Einstein–de Sitter spacetimes.
Zariski's multiplicity conjecture for parametrized quasihomogeneous hypersurfaces with non-isolated singularities in low dimensions
Zariski's multiplicity conjecture for parametrized quasihomogeneous hypersurfaces with non-isolated singularities in low dimensions
Palestrante: Manoel Messias da Silva Júnior (UFPB)
Resumo: In this talk, we discuss Zariski’s multiplicity conjecture in the context of parametrized quasihomogeneous hypersurfaces with non-isolated singularities. We focus on hypersurfaces arising as images of finitely determined quasihomogeneous map germs in low dimensions. Using quasihomogeneous normal forms, we show that the multiplicity can be explicitly described in terms of the weights and degrees of the parametrization and is preserved under topological equivalence. These results confirm Zariski’s multiplicity conjecture for a broad class of hypersurfaces, extending known results beyond the isolated singularity case.
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Palestrante: Prof. Claudemir Fideles Bezerra Junior (UNICAMP)
Resumo: Em breve
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