I'm under the impression that algebraic topology is a dying field in mathematics. That was my impression but I think I'm wrong. As every person I do need some evidence that my impression is not correct,.
That is why I am looking for a list of new big results in algebraic topology and homotopy theory that shackedshocked the mathematical community since the last 10 years.
Ideally, it will be nice to have a very small introduction and references for each answer.
Thank you in advance.