Algebra. Some Current Trends

Matrix factorizations of homogeneous polynomials.- Some new results in the combinatorial theory of rings and groups.- On representations of infinite groups.- Integral manifolds, harmonic mappings, and the abelian subspace problem.- Valuations on ree fields.- Standard bases and homology.- Semisimple superalgebras.- On the laws of finite dimensional representations of solvable lie algebras and groups.- Lie groups and ergodic theory.- Galois theory of databases.- On the codimensions of matrix algebras.- Homology of free loop spaces, cyclic homology and non-rational poincare-betti series in commutative algebra.- Incomplete sums and two applications of Deligne's result.- Eigenvalues of matrices of complex representations of finite groups of lie type.- Normal fitting classes of groups and generalizations.- On the nilpotency of nil algebras.