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Complete reducibility and Steinberg endomorphisms
G-complete reducibility Steinberg endomorphism Frobenius endomorphism
2011/2/28
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 ...
Periodic orbits of a one dimensional non autonomous Hamiltonian system
Morse theory periodic orbits twisting number
2011/2/28
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.
Ordinary varieties and the comparison between multiplier ideals and test ideals
Test ideals multiplier ideals ordinary variety semistable reduction
2011/1/21
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...
Nonassociative strict deformation quantization of C*-algebras and nonassociative torus bundles
Nonassociative strict deformation quantization nonassociative torus bundles T-duality
2011/1/20
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...
A note on Gornik's perturbation of Khovanov-Rozansky homology
note Gornik's perturbation Khovanov-Rozansky homology
2011/1/21
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.
Universality of scaling and multiscaling in turbulent symmetric binary fluids
Universality of scaling turbulent symmetric binary fluids
2010/12/28
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
Considerations Andrews-Curtis invariants sliced 2-complexes
2011/1/20
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...
Wave scattering by small bodies and creating materials with a desired refraction coefficient
wave scattering small scatterers wave focusing negative refraction
2011/1/21
In this paper the author’s invited plenary talk at the 7-th PACOM (PanAfrican Congress of Mathematicians), is presented.
Local well-posedness for the Sixth-Order Boussinesq Equation
Local well-posedness Sixth-Order Boussinesq Equation
2011/2/25
This work studies the local well-posedness of the initial-value problem for the nonlinear sixth-order Boussinesq equation utt = uxx + uxxxx + uxxxxxx + (u2)xx, where = ±1. We prove local well-posed...
For chaotic cavities with scattering leads attached, transport properties can be approximated in terms of the classical trajectories which enter and exit the system.
Delimited control operators prove Double-negation Shift
double negation shift delimited control operators intuitionistic logic
2011/1/18
We propose an extension of minimal intuitionistic predicate logic, based on delimited control operators, that can derive the predicate-logic version of the Double-negation Shift schema, while preservi...