Generic spectrum of warped products and G-manifolds.

Palestrante: José Nazareno Vieira Gomes
Universidade Federal de São Carlos

Data: 22/09
Horário: das 11:00 às 12:00 horas
Local: Auditório do DM

Resumo: In this talk, we give an answer to a question posed by S. Zelditch [Ann. Inst. Fourier 40 (1990) 407-442] about the generic situation of multiplicity for the eigenvalues of the Laplacian on principal bundles. More importantly, we actually answered a more general question regarding the generic G-simple spectrum of the real Laplace-Beltrami operator on a G-manifold which was formulated as number 42 in Yau's list of open problems [Yau, 1993].

This is a joint work with Professor Marcus A. M. Marrocos at the Universidade Federal do Amazonas - UFAM.

Reference: J.N.V. Gomes and M.A.M. Marrocos, Generic Spectrum of Warped Products and G-Manifolds, J. Geom. Anal. 29 (2019) 3124-3134.