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David White
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Homotopy theory and algebraic topology last 10 years. Is it a dying field?

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 shocked 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.

GSM
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