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11 papers · 1 filter
Rationalite des series de Poincare et des fonctions Zeta motiviques
Julien Sebag
If k is a field of characteristic 0, we prove that the motivic Poincare serie and the motivic Zeta functions associated to a k[[t]]-variety, flat and purely dimensional, are ration…
Algebraic Approach to q,t-Characters
David Hernandez
Frenkel and Reshetikhin introduced q-characters to study finite dimensional representations of quantum affine algebras. In the simply laced case Nakajima defined deformations of q-…
Braided Hopf algebras arising from matched pairs of groups
Nicolas Andruskiewitsch, Sonia Natale
Let k be a field. Let also (F, G) be a matched pair of groups. We give necessary and sufficient conditions on a pair (σ, τ) of 2-cocycles in order that the crossed product algebra…
Non-crossing cumulants of type B
Philippe Biane, Frederick Goodman, Alexandru Nica
We establish connections between the lattices of non-crossing partitions of type B introduced by V. Reiner, and the framework of the free probability theory of D. Voiculescu. Latti…
Analytic p-adic Cell Decomposition and Integrals
Raf Cluckers
We prove a conjecture of Denef on parameterized -adic analytic integrals using an analytic cell decomposition theorem, which we also prove in this paper. This cell decomposition…
Quasi-Hamiltonian Geometry of Meromorphic Connections
Philip Boalch
For each connected complex reductive group G, we find a family of new examples of complex quasi-Hamiltonian G-spaces with G-valued moment maps. These spaces arise naturally as modu…