Invariants attached to vector bundles and topological realizations
演讲者
Jean Fasel
时间
2024年04月11日 15:00 至 16:00
地点
A6-101
线上
Zoom 638 227 8222
(BIMSA)
摘要
In this talk, I will first explain how motivic homotopy theory allows to classify vector bundles using invariants in certain cohomology groups that are amenable to computations. For smooth complex threefolds, I will compare these invariants with the topological ones giving necessary and sufficient conditions for a topological vector bundle to admit an algebraic structure. I will then focus on the case of schemes over the real numbers, where the situation is more complicated.