Mathematics in the 21st Century: 6th World Conference, Lahore, March 2013 [Hardcover]

Numerous 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, 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, piecewise linear modeling, cosmological models of super symmetry, fluid dynamics, interpolation theory, optimization, ergodic theory and games theory are also presented.

Chapter 1. About phase transition and zero temperature.- Chapter 2. Approximation on Curves.- Chapter 3. Discriminants, polytopes, and toric geometry.- Chapter 4. Lecture on the abc conjecture and some of its consequences.- Chapter 5. Some results on chromaticity of quasi-linear hypergraphs.- Chapter 6. Basic properties of the non-abelian global reciprocity map.- Chapter 7. Poisson Smooth Structures on Stratified Symplectic Spaces.- Chapter 8. Some classical problems in number theory via the theory of K3 surfaces.- Chapter 9. On Ramsey (2K2;K4) - minimal graphs.- Chapter 10. On the motion induced by a flat plate that applies oscillating shear stresses to an Oldroyd-B fluid. Applications.- Chapter 11. Equilibrium in choice of generalized games.- Chapter 12. Hamiltonian connectedness of Toeplitz graphs.- Chapter 13. Cosmos and its furniture.- Chapter 14. On super edge-antimagic total labeling of Toeplitz graphs.

PIERRE CARTIER, member of Institut des Hautes ?tudes Scientifiques (IHES) in Bures sur Yvette, France, is emeritus professor in the University Paris 7.l³(