Titlebook: Mathematics in the 21st Century; 6th World Conference Pierre Cartier,A.D.R. Choudary,Michel Waldschmidt Conference proceedings 2015 Springe

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2194-1009 ic interests.Includes topics on algebraic geometry, analysisNumerous well-presented and important papers from the conference are gathered in the proceedings for the purpose of pointing directions for useful future research in diverse areas of mathematics including algebraic geometry, analysis, commu

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Conference proceedings 2015ure research in diverse areas of mathematics including algebraic geometry, analysis, commutative algebra, complex analysis, discrete mathematics, dynamical systems, number theory and topology. Several papers on computational and applied mathematics such as wavelet analysis, quantum mechanics, piecew

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Equilibrium in Choice of Generalized Games, – the game in choice form. There are two leading ideas of the new definition. One is that the players’ preferences need not be explicitly represented, but earlier accepted solution concepts should be formally derived as particular cases. Secondly, the choice of a player need not be a best reply to

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Cosmos and Its Furniture,s the base space of a canonical family of associative .-algebras in dimension 4. The study of the corresponding family of derivations leads to a natural way of introducing a spin structure in ., and it also furnishes a possible mathematical model for super symmetry and a Big Bang scenario in cosmolo

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Discriminants, Polytopes, and Toric Geometry,aic varieties, their structure is rich enough to make them interesting when formulating and testing conjectures. Because of their combinatorial description, results in algebraic geometry can sometimes be proved using combinatorics, and combinatorial results can sometimes be proved by algebraic-geome

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Some Classical Problems in Number Theory via the Theory of ,3 Surfaces,a one-to-one correspondence between the parameter space of the family of elliptic curves (given by the Weierstrass normal form) and its period domain (i.e., the complex upper half plane). The .3 surface is considered to be a two-dimensional counterpart of the elliptic curve. So, if we consider a fam

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Poisson Smooth Structures on Stratified Symplectic Spaces, symplectic smooth structure on a stratified symplectic space, refining the concept of a stratified symplectic Poisson algebra introduced by Sjamaar and Lerman. We show that these smooth spaces possess several important properties, e.g., the existence of smooth partitions of unity. Furthermore, unde