Algebra and Geometry Seminar

Unstable motivic homotopy theory gives tools for analyzing the structure of algebraic vector bundles on smooth varieties over a field. For example, one can study the problem of when a vector bundle splits off trivial rank 1 summands. I will discuss how an analog of Freudenthal suspension theorem in motivic homotopy theory allows one to completely analyze the preceding splitting problem just described.

I will discuss an analog in motivic homotopy theory of the classical Freudenthal suspension theorem.