An 87-Year Conjecture Falls During the World Cup

Anthropic researcher and mathematician Levent Alpöge used Claude Fable during the World Cup final to produce a concrete, checkable counterexample to the Jacobian Conjecture — a problem on Smale's 1998 list of Mathematical Problems for the Next Century. The map is three polynomials in three variables. The Jacobian determinant is -2. The conjecture is false.

Read more →