Nine Mathematical Challenges : An Elucidation
Nine Mathematical Challenges : An Elucidation
Subjects
MathematicsCongressesMathematical logic and foundations -- Set theoryAlgebraic geometry -- (Co)homology theory in algebraic geometryNumber theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Elliptic curves over global fieldsGroup theory and generalizations -- Abstract finite groups -- Finite simple groups and their classificationFunctions of a complex variable -- General properties of functions of one complex variable-- None of the above, but in this sectionPartial differential equations -- Spectral theory and eigenvalue problems for partial differential equations -- Estimates of eigenvalues in context of PDEsPartial differential equations -- Equations of mathematical physics and other areas of application -- PDEs in connection with fluid mechanicsDynamical systems and ergodic theory -- Ergodic theory -- Homogeneous flowsManifolds and cell complexes -- Differential topology -- Topology of vector bundles and fiber bundles