Homological Methods

Event Information Splitting criteria for vector bundles on minuscule homogeneous varieties
14:10 on Wednesday October 14, 2015
16:00 on Wednesday October 14, 2015
BA4010, Bahen Center, 40 St. George St.
Mihai Halic

Visitor at University of Toronto

The minuscule homogeneous varieties include the projective spaces, the Grassmannians, the spinor varieties, quadrics, the Cayley plane and Freudenthal's variety.

I prove that a vector bundle on a minuscule homogeneous variety splits into a direct sum of line bundles if and only if its restriction to the union of two-dimensional Schubert subvarieties splits. A case-by-case analysis is done.