Topic: Isaac Newton Institute

Zhouli Xu explains the Kervaire invariant problem and the role of unusual geometric objects in high-dimensional topology. He describes the long route towards resolving the problem in dimension 126, including the collaborative and technical challenges behind the proof. The conversation was recorded during the Isaac Newton Institute programme on equivariant homotopy theory.

Adina Goldberg discusses the mathematical study of quantum information and how it differs from classical information encoded in bits. Her perspective on the meaning carried by relationships and arrows connects her research with her career path. The conversation was recorded during a quantum-information research programme at the Isaac Newton Institute.