Robert P. Langlands

Letter to Serre

Year: 
March 15, 1968
Type: 
article
Keywords: 
Functoriality

Editorial comments: Langlands spent 1967-68 visiting in Ankara, Turkey, and while there wrote this letter to Serre. In it occurs for the first time the question of how to account for `special' representations of the Galois group, such as at primes where an elliptic curve has unstable bad reduction, corresponding to special representations of \(\mathrm{GL}_2\). This correspondence was later expanded to the Deligne-Langlands conjecture, proven eventually by Kazhdan and Lusztig.

School of Mathematics: 

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