Colloquium abstracts

Luis Lomeli
Instituto de Matematicas, PUCV, Valparaiso, Chile
February 9, 2017

Langlands-Shahidi L-functions over function fields and functoriality for the classical groups:  We will talk about the Langlands-Shahidi method over function fields, in general. Then, we specialize to the classical groups and refine previous results on the image of functoriality for globally generic representations. Combining our results with the work of L. Lafforgue for GL(n), we prove the Ramanujan Conjecture for the classical groups over function fields.