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As mathematicians have pursued the Langlands program, they've also expanded it in lots of directions.
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Automorphic varieties can be a generalization of periodic functions such as sine in trigonometry, whose outputs endlessly repeat as inputs develop. Galois groups are mathematical objects that explain how entities named fields (like the real or rational figures) change when they're extended with new factors.
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However, it's also been recommended that medieval scribes and audience might have understood this line as referring into a "William Longwille", the pseudonym used by a Norfolk rebel in 1381.[eight]
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By generating this link, and correctly enlarging the scope with the Langlands program as it was originally conceived, The brand new paper provides just one conceptual framework for any slew of mathematical connections.
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