# Colloquium abstracts

**Snehajit Misra**

TIFR, Mumbai

March 19, 2020

**Ampleness of vector bundles**: A line bundle L on a smooth projective variety X is called ample if some positive multiple mL of L gives a closed embedding of X into a projective space. A vector bundle V on X is called ample if the tautological line bundle on the associated projective bundle P(E) over X is ample. In this talk, we will discuss about the ampleness criterion of vector bundles on smooth projective varieties.