Localisation for the spin J-boson hamiltonian
Logarithmic asymptotic behaviour of the renormalized G-convolution product in four-dimensional euclidean space
Lorentz-invariant quantum fields in the space-time tangent bundle.
Lower bounds to Feynman integrals and class
Mathematical and Computational Models in Tumor Immunology
The immune system is able to protect the host from tumor onset, and immune deficiencies are accompanied by an increased risk of cancer. Immunology is one of the fields in biology where the role of computational and mathematical modeling and analysis were recognized the earliest, beginning from 60s of the last century. We introduce the two most common methods in simulating the competition among the immune system, cancers and tumor immunology strategies:...
Mathematical structures behind supersymmetric dualities
The purpose of these notes is to give a short survey of an interesting connection between partition functions of supersymmetric gauge theories and hypergeometric functions and to present the recent progress in this direction.
Matrices de diffusion pour l'opérateur de Schrödinger avec champ magnétique et phénomène de Aharonov-Bohm
Maximal violation of Bell's inequalities for algebras of observables in tangent spacetime regions
Metaplectic quantization of the moduli spaces of flat and parabolic bundles.
Méthode fonctionnelle en théorie des champs
Microscopic description of 2D topological phases, duality, and 3D state sums.
Mirror symmetry and conformal flatness in general relativity.
Mirror symmetry and toric geometry.
Mirror symmetry in dimension 3
Modular covariance, PCT, spin and statistics
Modular operads with connected sum and Barannikov’s theory
We introduce the connected sum for modular operads. This gives us a graded commutative associative product, and together with the BV bracket and the BV Laplacian obtained from the operadic composition and self-composition, we construct the full Batalin-Vilkovisky algebra. The BV Laplacian is then used as a perturbation of the special deformation retract of formal functions to construct a minimal model and compute an effective action.
Modular symmetry and fractional charges in supersymmetric Yang-Mills and the quantum Hall effect.
Modular theory and Eyvind Wichmann's contributions to modern particle physics theory.
Modular theory, non-commutative geometry and quantum gravity.
Moduli spaces of anti-self-dual connections on ALE gravitational instantons.