Title: Nine Mathematical Challenges : An Elucidation
Subjects: Mathematics, Congresses, Mathematical logic and foundations -- Set theory, Algebraic geometry -- (Co)homology theory in algebraic geometry, Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Elliptic curves over global fields, Group theory and generalizations -- Abstract finite groups -- Finite simple groups and their classification, Functions of a complex variable -- General properties of functions of one complex variable-- None of the above, but in this section, Partial differential equations -- Spectral theory and eigenvalue problems for partial differential equations -- Estimates of eigenvalues in context of PDEs, Partial differential equations -- Equations of mathematical physics and other areas of application -- PDEs in connection with fluid mechanics, Dynamical systems and ergodic theory -- Ergodic theory -- Homogeneous flows, Manifolds and cell complexes -- Differential topology -- Topology of vector bundles and fiber bundles