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Galois theory

The study of the symmetry groups of polynomial equations and of field extensions, used to establish properties of solutions that cannot be written down explicitly.

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science1 publisher

Asked to define the Langlands program, its own specialists give answers that do not overlap

Quanta put a simple question to the mathematicians extending what has been billed as a grand unified theory of mathematics. The cause of their disagreement is structural. A sweeping claim rests on very technical individual results, in a discipline that declines to interpret what it cannot prove.

Reality

Evidence58
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Insufficient
Hype gap+18
Incentives30
Confidence55