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Quantum Coulomb Gases           2011/2/25
Ordinarymatter is composed of electrons (negatively charged) and nuclei (positively charged) interacting via electromagnetic forces. The electric potential between two such particles of charges Q and ...
Alexandrov meets Kirszbraun      Alexandrov  Kirszbraun        2011/2/28
We give a simplified proof of the generalized Kirszbraun theorem for Alexandrov spaces, which is due to Lang and Schroeder. We also discuss related questions, both solved and open.
In memory of Marcos Moshinsky, who promoted the algebraic study of the har-monic oscillator, some results recently obtained on an infinite family of deformations of such a system are reviewed.
We prove that an open set D in Cn is pseudoconvex if and only if for any z ∈ D the largest balanced domain centered at z and contained in D is pseudoconvex, and consider analogues of that characteriza...
Let G be a connected reductive algebraic group defined over an algebraically closed field of positive characteristic. We study a generalization of the notion of G-complete reducibility in the context ...
In this paper we study the properties of the periodic orbits of x + V 0 x(t; x) = 0 with x 2 S1 and V 0 x (t; x) a T0 periodic potential.
We consider the following conjecture: if X is a smooth n-dimensional projective variety over a field k of characteristic zero, then there is a dense set of reductions Xs to positive characteristic suc...
In this paper, we initiate the study of nonassociative strict deformation quantization of C-algebras with a torus action. We shall also present a definition of nonassociative principal torus bundles...
We show that the information contained in the associated graded vector space to Gornik’s version of Khovanov-Rozansky knot homology is equivalent to a single even integer sn(K). Furthermore we show th...
In this paper we obtain an inequality on the unit disc B in the plane, which improves the classical Moser-Trudinger inequality and the classical Hardy inequality at the same time.
We elucidate the universal scaling and multiscaling properties of the nonequilibrium steady states (NESS) in a driven symmetric binary fluid (SBF) mixture in its homogeneous miscible phase in three di...
Considerations about Andrews-Curtis invariants based on sliced 2-complexes.
In this paper we introduce prime fuzzy ideals over a noncommutative ring.This notion of primeness is equivalent to level cuts being crisp prime ideals. It also gener-alizes the one provided by Kumbhoj...
We prove new results on projective normality, normal presentation and higher syzygies for a surface of general type X embedded by adjoint line bundles Lr = K + rB, where B is a base point free, ample...
The Work of Ngo Bao Chau      Work  Ngo Bao Chau        2011/1/17
In August 2010, Ngˆo Bao Chˆau was awarded a Fields Medal for his deep work relating the Hitchin fibration to the Arthur-Selberg trace formula, and in particular for his proof of the Fundame...

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