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A publicação pode ser exportada nos seguintes formatos: referência da APA (American Psychological Association), referência do IEEE (Institute of Electrical and Electronics Engineers), BibTeX e RIS.

Exportar Referência (APA) 
Mendes, S. (2023). Reciprocity laws: from Euler to Langlands. Jornadas da Matemática (Núcleo de Estudantes de Matemática do Instituto Superior Técnico).
Exportar Referência (IEEE) 
S. M. Mendes,  "Reciprocity laws: from Euler to Langlands", in Jornadas da Matemática (Núcleo de Estudantes de Matemática do Instituto Superior Técnico), Lisboa, 2023
Exportar BibTeX 
@misc{mendes2023_1777228925519,
	author = "Mendes, S.",
	title = "Reciprocity laws: from Euler to Langlands",
	year = "2023",
	howpublished = "Digital",
	url = "https://nmath.tecnico.ulisboa.pt/jmatematica23"
}
Exportar RIS 
TY  - CPAPER
TI  - Reciprocity laws: from Euler to Langlands
T2  - Jornadas da Matemática (Núcleo de Estudantes de Matemática do Instituto Superior Técnico)
AU  - Mendes, S.
PY  - 2023
CY  - Lisboa
UR  - https://nmath.tecnico.ulisboa.pt/jmatematica23
AB  - The quadratic reciprocity law ties together pairs of prime numbers p, q in the beautiful formula
                                                      (p|q)(q|p)=(-1)^(p-1)(q-1)/4

where (p|q) is the Legendre symbol. Algebraically, quadratic reciprocity law provides a way to determine if a congruence x^2 = a (mod p) is solvable. On the other hand, Artin's reciprocity law, which includes the quadratic reciprocity law as a special case, is the main result of class field theory, that is, the description of all abelian extensions of a given field F. In this talk we survey, in an elementary fashion, reciprocity laws from Euler to Artin. We finish with Langlands reinterpretation of Artin's reciprocity and how it leads to the formulation of a non abelian class field theory.
ER  -