Langlands program and Ramanujan Conjecture: A survey

Autor:	Luis Lomelí
Rok vydání:	2021
Předmět:	symbols.namesake Langlands program Conjecture Open problem MathematicsofComputing_GENERAL symbols Zero (complex analysis) Calculus Field (mathematics) Function (mathematics) Algebraic number field Mathematics Ramanujan's sum
Zdroj:	Mexican Mathematicians in the World. :161-204
ISSN:	1098-3627 0271-4132
DOI:	10.1090/conm/775/15592
Popis:	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 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 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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1a7016fa77d25d99b741743b4126c774 https://doi.org/10.1090/conm/775/15592 Zobrazit plný text záznamu