The fourth homotopy group of the three-dimensional sphere
Speaker:
Guillaume Brunerie, Université de Nice Sophia-Antipolis
Date and Time:
Monday, May 16, 2016 - 3:00pm to 3:40pm
Location:
Fields Institute, Room 230
Abstract:
We present an overview of a proof that $\pi_4(\mathbb{S}^3)=\mathbb{Z}/2\mathbb{Z}$ in synthetic homotopy theory.
In particular, we will talk about the James construction, the cohomology ring of a space, the Hopf invariant of a map and the Gysin sequence.
