Recently the second author and Van Proeyen proved the monodromy conjecture on topological zeta functions for all non-degenerate surface singularities. In this paper, we obtain some higher-dimensional analogues of their results. First we study configurations of B 1-pyramid facets which produce fake poles. Secondly, we introduce fully supermodular fu...
International audience
George W. Mackey suggested in 1975 that there should be analogies between the irreducible unitary representations of a noncompact semisimple Lie group G and those of its Cartan motion group − the semidirect product G 0 of a maximal compact subgroup of G and a vector space. In these notes, I focus on the carrier spaces for these representations and ...
In this paper we consider solutions to the perturbed Maxwell's equations in R d , for d = 2, 3. For such solutions we provide a complete asymptotic expansions of the (geometric) perturbations resulting from the presence of diametrically small heterogeneity with parameters different from the background medium. Our derivation is rigorous and is based...
International audience
We define a generalization of the Töplitz quantization, suitable for operators whose Töplitz symbols are singular. We then show that singular curve operators in topological quantum fields theory (TQFT) are generalized Töplitz operators and we compute their main symbol, determined by the associated classical trace function.
International audience
We study the C 2-structural stability conjecture from Mañé's viewpoint for geodesics flows of compact manifolds without conjugate points. The structural stability conjecture is an open problem in the category of geodesic flows because the C 1 closing lemma is not known in this context. Without the C 1 closing lemma, we combine the geometry of manif...
We consider a new approach for the numerical approximation of stochastic differential equations driven by white noise. The proposed method shares some features with the stochastic collocation techniques and, in particular, it takes advantage of the assumption of smoothness of the functional to be approximated, to achieve fast convergence. The solut...
The purpose of this foundational paper is to introduce various notions and constructions in order to develop the homotopy theory for differential graded operads over any ring. The main new idea is to consider the action of the symmetric groups as part of the defining structure of an operad and not as the underlying category. We introduce a new dual...
