Intégrales de Selberg complexes et p-adiques et identités de Dyson-Macdonald

Cette thèse fait partie d'un programme de recherche sur la théorie conforme des champs et les représentations de l'algèbre de Lie dollar\frak{sl}_2dollar (réelle, complexe, dollarpdollar-adique, dollarqdollar-déformée). Nous étudions des versions réelle, dollarpdollar-adique et dollarqdollar-déformée d'une intégrale triple apparaissant en physique en connection avec le modèle de Liouville de la théorie conforme des champs. Ces intégrales se trouvent être aussi reliées aux identités de terme constant de Dyson-MacDonald. Et puis, nous donnons une approche différente pour calculer la version comlexe, qui utilise la technique de Bernstein-Reznikov. L'idée principale est d'appliquer des fonctionnelles invariantes à des représentations de séries principales de dollarG=SL(2,\mathbb{C})dollar. Enfin, nous définissons une dollarqdollar-déformation de Jacquet-Langlands de représentations de séries principales de dollarGL_2(\mathbb{R})dollar et nous prouvons l'unicité d'une fonctionnelle triple invariante sur ces objets en utilisant la méthode de H.Y.Loke. Nous trouvons aussi des relations semblables aux équations différentielles de [NSU].This thesis is part of a research program on Conformal field theory and representations of Lie algebra of dollar\frak{sl}_2$(real, complex, dollarpdollar-adic, dollarqdollar-derfomed). We study a real, dollarpdollar-adic and dollarqdollar-deformed versions of a triple integral appeared in physics in connection with the Liouville model of the Conformal field theory. These integrals turn out to be connected with the Dyson-Macdonald constant term identities. We also give another approach to compute the complex case by using Bernstein-Reznikov's technique. The main idea is to apply invariant functionals on principal series representations of dollarG=SL(2,\mathbb C)dollar. Finally, one defines a dollarqdollar-deformation of Jacquet-Langlands principal series representations of dollarGL_2(\mathbb R)$ and prove the uniqueness of an invariant triple functional on them by using method of H.Y.Loke. Alongside, we find out some relations to similar differential equations in [NSU]

EDUCATION ABOUT RESPONSIBILITY FOR STUDENTS TOWARDS THE SACRED SOVEREIGNTY OF ISLANDS IN VIETNAM

The sea and islands of Vietnam are a sacred part of the homeland. Through thousands of years of history, the sea and islands in the mind of the Vietnamese people are the country, the life in which many generations and ancients poured blood and sacrifice their lives to build, preserve and develop. In recent years, the East Sea issue is under very complicated disputes that directly affect the sovereignty of the sea and islands of Vietnam. Communist Party and the State of Vietnam consistently affirmed: Vietnam is a sovereign, territorial integrity country, including the sea and islands, is sacred and inviolable. The protection of sovereignty over the sea and islands is a key task, which is the responsibility of the entire Party, the entire citizens, and the entire army; among all residents, young generation and students are important forces. Therefore, we need to promote the solidarity strength of the entire nation including the political system, and the young generation is the core force in the defense of sea and island sovereignty of the country