Title: Cobordism of involutions revisited, revisited Author: Jack Morava Department of Mathematics The Johns Hopkins University Baltimore 21218 Maryland USA jack@math.jhu.edu AMS classification numbers: 55-03, 55N22, 55N91 Abstract: This is the writeup of a talk at the 1998 AMS Winter meeting, on Mike Boardman's early work on the Conneer-Floyd five-halves conjecture; it will appear in Contemporary Mathematics 239. The main point is that Boardman's technical innovations [in the case of unoriented geometric bordism of involutions] foreshadow recent work by Greenlees and Kriz, on equivariant homotopy-theoretic bordism. Attention is also drawn to related old work of Quillen on the use of the language of residues in algebraic topology.