Colloquium abstracts

Poornapushkala Narayanan
TIFR, Mumbai
June 20, 2019

Stability of Lazarsfeld-Mukai bundles:  Lazarsfeld-Mukai(LM) bundles are an important class of vector bundles on complex projective varieties which were introduced by Lazarsfeld and Mukai in the 1980s. They are constructed using the standard technique of elementary transformations and have found applications in studying syzygies and Brill-Noether theory. In this talk we discuss some of the properties of LM bundles and in particular the stability of these vector bundles over certain projective varieties like projective spaces, abelian surfaces etc. We will also highlight some of the applications of LM bundles.