Takayuki Koike, On Some Variants of Ueda’s Lemma and its Application

In this talk, we explain our results on some variants of Ueda’s lemma on L^∞-estimates for Cech coboundary operators that hold uniformly for all flat holomorphic line bundles on compact Kähler manifolds. This talk is partially based on joint work with Y. Hashimoto and T. Uehara.Title : Non-measure hyperbolicity of K3 and Enriques surfaces.