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Progress in Formalizing Sphere Packing in Dimension 8

arXiv:2604.23468v3 Announce Type: replace-cross Abstract: In 2016, Viazovska famously solved the sphere packing problem in dimension $8$, using modular forms to construct a 'magic' function satisfying optimality conditions determined by Cohn and Elkies in 2003. In March 2024, Hariharan and Viazovska launched a project to formalize this solution and related mathematical facts in the Lean Theorem Prover. A significant milestone was achieved in February 2026: the result was formally verified,...

arXiv CS 9d ago

Sat-Chi, fresh off Singapore Open win, pull out of Indonesia Open

India’s star men’s doubles pair, Satwiksairaj Rankireddy and Chirag Shetty, have pulled out of the Indonesia Open 2026 after Satwik suffered an injury during their opening-round match in Jakarta. The duo was forced to retire midway through their contest against Malaysia’s Aaron Tai and Kang Khai Xing on Wednesday, bringing an early end to their campaign. The Badminton Association of India (BAI) later confirmed the withdrawal and said the pair would now focus on recovery before returning to...

Times of India 7d ago

Daily briefing: Trial to ‘de-age’ cells treats first person

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Nature 1d ago