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Mathematicians Prove 30-Year-Old André-Oort Conjecture | Quanta Magazine

A team of mathematicians has solved an important question about how solutions to polynomial equations relate to sophisticated geometric objects called Shimura varieties.

Click to view the original at quantamagazine.org

Hasnain says:

“The new paper begins with one of the most basic but provocative questions in mathematics: When do polynomial equations like x3 + y3 = z3 have integer solutions (solutions in the positive and negative counting numbers)? In 1994, Andrew Wiles solved a version of this question, known as Fermat’s Last Theorem, in one of the great mathematical triumphs of the 20th century.”

Posted on 2022-02-07T06:09:14+0000