In the late twentieth century, stable homotopy theory expanded
rapidly and became increasingly sophisticated in defining
homotopically invariant algebraic machinery associated with
multiplicative cohomology theories and their internal operations.
Inputs to these developments have included established
mathematical ideas from subjects such as algebraic geometry and
number theory. The workshop `New Topological Contexts for Galois
Theory and Algebraic Geometry' brought together topologists
involved in developing or using these new techniques and allowed
for the interactions with other subject areas by including
non-topologist participants who would contribute to this.
The Banff International Research Station for Mathematical Innovation
and Discovery (BIRS) provided wonderful facilities and support, amidst
stunning mountain scenery, and we would like to thank all the staff
and funding bodies that made it possible.
Andrew Baker (Glasgow) and Birgit Richter (Hamburg)