Date: Thursday 7th February 2013 <br />Speaker: Victor Lozovanu (Paris 6) <br />Title: An extension of Kodaira vanishing in arbitrary codimension <br /> <br />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 Kodaira vanishing to arbitrary codimension. I will present a few applications to this work; by giving answers to questions of projective normality and bounding the multigraded regularity. I will also discuss some future projects that derive nicely from this work. <br /> <br />http://www.maths.ed.ac.uk/cheltsov/seminar/