Langlands program and Ramanujan Conjecture: A survey

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Resumen

We present topics in the Langlands Program to graduate students and a wider mathematically mature audience. We study both global and local aspects in characteristic zero as well as characteristic p. We look at modern approaches to the generalized Ramanujan conjecture, which is an open problem over number fields, and present known cases over function fields. In particular, we study automorphic L-functions via the Langlands-Shahidi method. Hopefully, our approach to the Langlands Program can help guide the interested reader into an exciting field of mathematical research.

Idioma originalInglés
Título de la publicación alojadaMexican Mathematicians in the World Trends and Recent Contributions
EditoresFernando Galaz-García, Cecilia González-Tokman, Juan Carlos Pardo Millán
EditorialAmerican Mathematical Society
Páginas161-204
Número de páginas44
ISBN (versión impresa)9781470465360
DOI
EstadoPublicada - 2021
Evento4th Meeting of Mexican Mathematicians Abroad, 2018 - Oaxaca, México
Duración: 10 jun. 201815 jun. 2018

Serie de la publicación

NombreContemporary Mathematics
Volumen775
ISSN (versión impresa)0271-4132
ISSN (versión digital)1098-3627

Conferencia

Conferencia4th Meeting of Mexican Mathematicians Abroad, 2018
País/TerritorioMéxico
CiudadOaxaca
Período10/06/1815/06/18

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