Abstract: Based on Seshadri's criterion for ampleness, Seshadri constants of ample line bundles were introduced by Demailly to tackle Fujita conjecture. Since then it has been a very active area of research. Subsequently, Seshadri constants of higher rank ample vector bundles were introduced by Hacon-Fulger-Murayama. In this talk, we will discuss some results about Seshadri constants of ample vector bundles and parabolic ample bundles based on our joint work with Indranil Biswas, Krishna Hanumanthu and Nabanita Ray.