Equivariant bordism from the global perspective

Global homotopy theory is, informally speaking, equivariant
homotopy theory in which all compact Lie groups acts at
once on a space or a spectrum, in a compatible way. In this talk I
will advertise a rigorous and reasonably simple formalism to make
this precise, using orthogonal spectra. I will then illustrate the formalism
by a geometrically motivated example, namely equivariant
bordism of smooth manifolds.