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Langlands program

A long-running body of research in pure mathematics organised around conjectured correspondences that link number theory to harmonic analysis, representation theory and geometry. It has grown since the late 1960s into a collective effort spanning several mathematical fields.

Known aliases

  • geometric Langlands correspondence
  • Langlands correspondences

Relationships

No evidence-backed relationships are recorded.

Current clusters

science1 publisher

Asked to define the Langlands program, its own specialists give answers that do not overlap

Quanta put a simple question to the mathematicians extending what has been billed as a grand unified theory of mathematics. The cause of their disagreement is structural. A sweeping claim rests on very technical individual results, in a discipline that declines to interpret what it cannot prove.

Reality

Evidence58
Adoption
Insufficient
Hype gap+18
Incentives30
Confidence55