In 1945 Gerhard Hochschild published "On the cohomology groups of
an associative algebra" in the "Annals of Mathematics" and
thereby created what is now called Hochschild theory. The subject not
only provides interesting homological invariants; it also serves as a
link connecting algebra, topology, and geometry. The focus of the
meeting was on recent developments, for instance in the study of
singularities, deformations, and representations.