Ulrich bundles are vector bundles on a smooth projective variety whose twists satisfy a set of vanishing conditions. It has been conjectured that every smooth projective variety carries an Ulrich bundle. The answer to this is not known in general but is known in the case of certain projective varieties. In this talk, I will give an introduction to Ulrich bundles. I will also discuss the existence of Ulrich bundles over double covers of projective spaces (joint work with A.J. Parameswaran and N. Mohan Kumar).
Zoom link: https://icts-res-in.zoom.us/j/83391414688?pwd=aEpWZHJ6blFvSGpYUldkQzJtY2VwUT09
Meeting ID: 833 9141 4688