Xiaotao Sun, Chinese Academy of Sciences, Beijing, China

Frobenius morphism and vector bundles

Abstract

Let X be a smooth projective variety over an algebraically closed field of positive characteristic. Let F be the relative Frobenius morphism of X. In this talk, I will discuss the behaviour of semistable bundles under the operations F^* and F_*. The stability of sheaves of locally closed forms and exact forms will also be discussed.