Finite rank vector bundles on ind-varieties

Date/heure
31 mars 2014
14:00 - 15:00

Oratrice ou orateur
Ivan Penkov

Catégorie d'évènement
Séminaire de géométrie complexe


Résumé

In this talk I will recall a theorem by Barth, Van de Ven, Tyurin and Sato claiming that a finite rank vector bundle on the infinite complex projective space $P^{infty}$ is isomorphic to a direct sum of line bundles. Then I will describe sufficient conditions on a locally closed ind-variety which ensure that the same result holds on $X$. I will also exhibit natural classes of linear locally complete ind-varieties which satisfy these sufficient conditions.