KTH/SU Mathematics Colloquium

07-03-28

Wojciech Chacholski, KTH

How to quantify complexity of fibrations of topological spaces

In this talk I will illustrate how to use modern homotopy theory to quantify complexity of fibrations of topological spaces. To quantify something means to compare it with something else which is presumed to be more fundamental. In our case we take amalgamated sums as such fundamental operations. I will illustrate in these terms the nilpotence theorem of Devinatz, Hopkins and Smith.