Jackson Morris: A $\mathbb{C}$-motivic $w_1$-self-map of periodicity 1 https://arxiv.org/abs/2610.22651 https://arxiv.org/pdf/2610.22651 https://arxiv.org/html/2610.22651

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Vigleik Angeltveit The Smith-Toda complex V(4) exists for p >= 11 https://arxiv.org/abs/2610.23215

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Thomas Brazelton, Ben Spitz Operations on $G$-sets and the Dress map https://arxiv.org/abs/2610.23758

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Back in 2021, I led the PCMI Undergraduate Faculty Program (abbreviated and online — covid times). Just today, four of the participants posted a preprint that arose from that program characterizing which quadratic forms of small rank arise as 𝔸¹-Milnor numbers! arxiv.org/abs/2610.14506 🧮

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They claim Kervaire at p=3 and a couple other major stable/chromatic homotopy theory results. Oh, and Grothendieck’s homotopy hypothesis.

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