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Explore advanced mathematical concepts in this 54-minute conference talk from the International Conference on Biological Sciences (ICBS) 2024. Delve into classical methods for computing differentials in the Adams spectral sequence and examine recent progress made in collaboration with Weinan Lin and Guozhen Wang. Gain insights into the resolution of the Last Kervaire Invariant Problem in dimension 126, with a specific focus on the fate of h_6^2. Enhance your understanding of complex mathematical theories and their applications in biological sciences through this in-depth presentation by Zhouli Xu from BIMSA.