Edward frenkel math5/12/2023 Researchers have already discovered strong links to physics, and Rayan and other scientists continue to explore new ones. Increasingly mathematicians are finding links between the original program-and its offshoot, geometric Langlands-and other fields of science. It has “many avatars, some of which are still open, some of which have been resolved in beautiful ways.” Langlands is retired, but in recent years the project has sprouted into “almost its own mathematical field, with many disparate parts,” which are united by “a common wellspring of inspiration,” says Steven Rayan, a mathematician and mathematical physicist at the University of Saskatchewan. Four years ago, he was awarded the Abel Prize, one of the most prestigious awards in mathematics, for his program, which was described as “visionary.” The program is named after Robert Langlands, a mathematician at the Institute for Advanced Study in Princeton, N.J. Edward Frenkel, a mathematician at the University of California, Berkeley, has even dubbed the Langlands program “a Grand Unified Theory of Mathematics.” It is such a force that some mathematicians say it-or some aspect of it-belongs in the esteemed ranks of the Millennium Prize Problems, a list of the top open questions in math. That program links seemingly disconnected subfields. Within mathematics, there is a vast and ever expanding web of conjectures, theorems and ideas called the Langlands program.
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