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SUMMARY:The Langlands-Shahidi method over function fields - Luis Lomelí
DTSTART:20191105T143000Z
DTEND:20191105T153000Z
UID:TALK130036@talks.cam.ac.uk
CONTACT:Jessica Fintzen
DESCRIPTION:We present the Langlands-Shahidi method over function fields\,
  which allows us to study automorphic L-functions for what can be called L
 S representations r. These L-functions arise in the context of a pair (G\,
 M) of quasi-split connected reductive groups\, where M is the Levi subgrou
 p of a maximal parabolic P of G\, and a globally generic cuspidal automorp
 hic representation of M. We will go over their main properties\, local int
 erconnections via the Kazhdan transfer\, rationality and holomorphy result
 s. Furthermore\, thanks to the results of L. Lafforgue and V. Lafforgue\, 
 we provide applications to the generalized Ramanujan Conjecture and Rieman
 n Hypothesis over function fields.
LOCATION:MR13
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