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old conjecturesQuanta Magazine
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76% Informative
In May , a team of nine mathematicians proved what is called the geometric Langlands conjecture.
The result is a central component of a broader research program to build a “grand unified theory” of mathematics.
This year , there were several landmark proofs in the field of geometry alone.
In 2024 , mathematicians made crucial progress toward a better understanding of some of the most important questions in the field.
The sphere-packing problem is simple to state: How do you arrange identical spheres to fill as much volume as possible without overlapping? No one knew the answer for any dimension higher than three until 2016 , when the Ukrainian mathematician Maryna Viazovska proved it was optimal for packing spheres in eight- and 24 -dimensional space.
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