LAURET Emilio Agustin
congresos y reuniones científicas
Survey of isospectral homogeneous Riemannian manifolds
LAURET, EMILIO A.
Workshop; 6th TWAS Young Affiliate Network (TYAN) Thematic Workshop in Mathematics and 1st Advanced School in Mathematics; 2022
TWAS Young Affiliates Network
We will review several results on inverse spectral geometry in the setting of homogeneous Riemannian manifolds. Some key points will be Schueth's examples of continuous curves of isospectral left-invariant metrics on compact Lie groups, Sutton's construction of isospectral compact homogeneous Riemannian manifolds (as a generalization of Sunada-Pesce's method), and spectral isolation/uniqueness problems among $G$-invariant metrics on a fixed homogeneous space $G/K$.