Speaker:刘杰(中科院数学研究所)Time:Mon., 10:00 am -12:00, Oct. 14, 2024Venue:C658, Shuangqing Complex BuildingTitle:The Hitchin map and the spectral baseAbstract:We review the recent progress on Chen-Ngo's conjecture on the image of Hitchin map of moduli stack of Higgs bundles over higher dimensional projective manifolds. During the lectures, the following topics will be discussed: the c...
IntroductionWe will study some mixed completeness problems, i.e. completeness problems for the union of two systems of harmonics of different nature, for a example a system from exponentials and its biorthogonal system.We consider the spectral synthesis property for systems of exponentials and other systems of reproducing kernels of Hilbert spaces of entire functions (Paley-Wiener spaces, Fock ...