AbstractDg manifolds are a useful geometric notion which unifies many important structures such ashomotopy Lie algebras, foliations and complex manifolds. In this talk, we describe a Duflo.Kontsevich type theorem for dg manifolds. The Duflo theorem of Lie theory and the Kontsevichtheorem regarding the Hoschschild cohomology of complex manifolds can both be derived asspecial cases of this Duflo-...
Abstract:Spectral analysis of signals is a core component of modern information techniques. The rapid developments of radar detection and wireless communications have advanced its research from fast Fourier transform (FFT) in the 1960s to subspace methods emerging in the 1970s, and then to sparse and compressed sensing methods of this century. In this talk, we revisit the Carathéodory-Fejér Th...