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BIMSA AG Seminar
BIMSA AG Seminar
Invariants attached to vector bundles and topological realizations
Invariants attached to vector bundles and topological realizations
Organizers
Speaker
Jean Fasel
Time
Thursday, April 11, 2024 3:00 PM - 4:00 PM
Venue
A6-101
Online
Zoom 638 227 8222
(BIMSA)
Abstract
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.