Speaker: Victor Lozovanu (Paris)

Title: An extension of Kawamata-Viehweg vanishing in arbitrary codimension
Abstract: One of the most celebrated theorems in complex algebraic geometry is Kodaira vanishing, together with its extension due to Kawamata and Viehweg. In this talk I will discuss about a joint work with Greg G. Smith, where we generalize K-V vanishing to arbitrary codimension. I will also present a few applications to this work; by giving answers to questions of projective normality and bounding the multigraded regularity.