Alex Küronya (Frankfurt): Local positivity of line bundles

Positive line bundles play a central role in algebraic geometry, with plentiful applications in and around the field, for instance in number theory or symplectic geometry.   In this talk we will consider line bundles which themselves may not be positive, but satisfy similar properties over some open subsets. After defining local positivity, we discuss how to measure the extent to which a line bundle is positive at a given point, how to characterize them in terms of convex geometry, and present global applications. This is an account of joint work with Victor Lozovanu.