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.