Oberseminar: Louis Ioos (G.15.25)
After recalling the classical method of Poincaré series for the study of locally symmetric Hermitian spaces, I will present a vast generalisation of this method to polarized Kähler manifolds with bounded geometry. The proof is based on the exponential decay of the Bergman kernel established by Ma and Marinescu. I will then present some applications to the theory of classical Poincaré series itself. This talk is based on a joint work with Wen Lu, Xiaonan Ma and George Marinescu.
