3 projets européens trouvés
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TERMINÉ
Quantum Algebraic Structures In Field Theories (QUASIFT)
Date du début: 1 sept. 2016, Date de fin: 31 août 2021,
Quantum Field Theory is a universal framework to address quantum physical systems with infinitely many interacting degrees of freedom, applicable both at the level of fundamental interactions, such as the subnuclear physics of quarks and gluons and at the phenomenological level such as the physics of quantum fluids and superconductivity. Traditionally, weakly interacting quantum field theory is ...
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TERMINÉ
Integral p-adic Hodge Theory and p-adic Vanishing Cycles (IPAHOT-PVC)
Date du début: 3 oct. 2016, Date de fin: 2 oct. 2018,
The proposed project concerns p-adic Hodge Theory, a major area of arithmetic algebraic geometry; it owes its existence to the 1968 observation of John Tate that the well-known Hodge decomposition of the singular cohomology of a complex manifold should have a p-adic analogue, in which the singular cohomology is replaced by the p-adic etale cohomology.There are currently two distinct approaches to ...
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TERMINÉ
Arithmetic of automorphic motives (AAMOT)
Date du début: 1 juin 2012, Date de fin: 31 mai 2018,
The primary purpose of this project is to build on recent spectacular progress in the Langlands program to study the arithmetic properties of automorphic motives constructed in the cohomology of Shimura varieties. Because automorphic methods are available to study the L-functions of these motives, which include elliptic curves and certain families of Calabi-Yau varieties over totally real fields ( ...
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