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Automorphic form
Reference material by Wikiquote contributors. This retains its source identity and is not 411 news reporting.
Automorphic forms are a generalization of the idea of periodic functions in Euclidean space to general topological groups.
Quotes
He liked putting different pieces of mathematics together: geometry, analysis, topology… so automorphic forms should have appealed to him. But for some reason he didn’t get interested in that at the time. I think the junction between Grothendieck and Langlands was realized only in 1972 at Antwerp. Serre had given a course on Weil’s theorem in 1967–1968. But after 1968 Grothendieck had other interests. And before 1967 things were not ripe. I’m not sure.
Reminiscences of Grothendieck and His School
Automorphic forms can be thought of as fundamental particles in harmonic analysis, which deals in part with waves and frequencies. In a symphony orchestra, automorphic forms issue instructions and work with eigenvalues — the different speeds a violin string moves when struck, for instance — to produce the notes played.
Contenta Sandro The Canadian who reinvented mathematics http://projects.thestar.com/math-the-canadian-who-reinvented-mathematics/ Toronto Star
External links
Category:Mathematics