Algebra Seminar | Tariq Syed | Vector bundles over topologically contractible smooth affine complex varieties

Tariq Syed (Heinrich-Heine-Universität Düsseldorf)

Vector bundles over topologically contractible smooth affine complex varieties

A smooth complex variety X is called topologically contractible if its set of complex points, viewed as a complex manifold with analytic topology, is a contractible topological space. The primordial examples of topologically contractible smooth affine complex varieties are given by affine spaces. The generalized Serre question on algebraic vector bundles asks whether algebraic vector bundles over topologically contractible smooth affine complex varieties are always trivial. In this talk, we survey classical results and highlight the most recent developments on this problem.

MC 5479