All Outputs (3)

Geometric adeles and the Riemann–Roch theorem for 1-cycles on surfaces (2015)
Journal Article
FESENKO, I. (2015). Geometric adeles and the Riemann–Roch theorem for 1-cycles on surfaces. Moscow Mathematical Journal, 15(3), 435-453. https://doi.org/10.17323/1609-4514-2015-15-3-435-453

The classical Riemann–Roch theorem for projective irreducible curves over perfect fields can be elegantly proved using adeles and their topological self-duality. This was known already to E. Artin and K. Iwasawa and can be viewed as a relation betwee... Read More about Geometric adeles and the Riemann–Roch theorem for 1-cycles on surfaces.

Identifying cosmological perturbations in group field theory condensates (2015)
Journal Article
Gielen, S. (2015). Identifying cosmological perturbations in group field theory condensates. Journal of High Energy Physics, 2015(8), Article 010. https://doi.org/10.1007/jhep08%282015%29010

One proposal for deriving effective cosmological models from theories of quantum gravity is to view the former as a mean-field (hydrodynamic) description of the latter, which describes a universe formed by a ‘condensate’ of quanta of geometry. This i... Read More about Identifying cosmological perturbations in group field theory condensates.

Perturbing a quantum gravity condensate (2015)
Journal Article
Gielen, S. (2015). Perturbing a quantum gravity condensate. Physical Review D - Particles, Fields, Gravitation and Cosmology, 91(4), Article 043526. https://doi.org/10.1103/physrevd.91.043526

In a recent proposal using the group field theory approach, a spatially homogeneous (generally anisotropic) universe is described as a quantum gravity condensate of
“atoms of space”, which allows the derivation of an effective cosmological Friedmann... Read More about Perturbing a quantum gravity condensate.