local langlands conjectureの例文

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1. proved the local Langlands conjectures for the symplectic similitude group GSp ( 4 ) and used that in to deduce it for the symplectic group Sp ( 4 ).
2. The local Langlands conjectures state ( very roughly ) that representations of an algebraic group over a local field should be closely related to conjugacy classes in the Langlands dual group.
3. proved the local Langlands conjectures for the general linear group GL " n " ( " K " ) for positive characteristic local fields " K " . gave an exposition of their work.
4. proved the local Langlands conjectures for the general linear group GL " n " ( " K " ) for characteristic 0 local fields " K " . gave another proof . and gave expositions of their work.
5. Taylor received the 2014 Breakthrough Prize in Mathematics " for numerous breakthrough results in the theory of automorphic forms, including the Taniyama Weil conjecture, the local Langlands conjecture for general linear groups, and the Sato Tate conjecture . " He also received the 2007 Shaw Prize in Mathematical Sciences for his work on the Langlands program with Robert Langlands.