The Ramanujan conjecture for the unitary groups over function fields

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Date(s) - 12/03/2015
11 h 00 min - 12 h 00 min

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We present the Langlands-Shahidi method for studying automorphic L-functions, which we now make available in positive characteristic and we present an important application to the unitary groups. We take a globally generic cuspidal automorphic representation of a unitary group and produce a base change to Res_K/k GL(N). We combine the Langlands-Shahidi method with the Converse Theorem and then use the exact Ramanujan bounds of Laurent Lafforgue for general linear groups to establish the Ramanujan conjecture for the unitary groups.


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