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- xiii; 376 p.
ISBN 978-1-4704-3573-8

Contemporary mathematics , 0691

Localisation : Collection 1er étage

théorie des nombres algébriques # théorie de Galois # correspondance de Langlands # conjecture de Baum-Connes # programme de Langlands

20G25 ; 22E50 ; 11S37 ; 19L47 ; 22E45 ; 11F55 ; 11R39 ; 20C33 ; 11F85 ; 11F67

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Research talks

11F33 ; 11F85

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Research talks

This is a joint work with J. Cogdell and T.-L. Tsai. I will report on the progress made in proving the equality of Artin epsilon factors for exterior and symmetric square L-functions with those on the representation theoretic side through the local Langlands correspondence. The equality for L-functions has already been established by Henniart. I will show how the equality can be proved if one has the stability of these factors under highly ramified twists for supercuspidal representations. I will then discuss the stability question for supercuspidals by discussing how it can be deduced from a generalization of germ expansions of Jacquet and Ye from Bessel functions to certain partial Bessel functions. I will elaborate by explaining the stability in the case of GL(2) through general lemmas proved so far. This is a joint work with J. Cogdell and T.-L. Tsai. I will report on the progress made in proving the equality of Artin epsilon factors for exterior and symmetric square L-functions with those on the representation theoretic side through the local Langlands correspondence. The equality for L-functions has already been established by Henniart. I will show how the equality can be proved if one has the stability of these factors under highly ...

11F66 ; 11F70 ; 11F80 ; 22E50

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