"Squares, Primes, and Proofs," by Ivars Peterson. Science News, 15 January 2000, page 47.
This brief piece describes the "local Langlands correspondence," a milestone in algebraic number theory recently proved by researchers in France and the United States. An article about this result, "The Nonabelian Reciprocity Law for Local Fields," appeared in the January 2000 issue of Notices of the AMS.
--- Allyn Jackson