Residue theory and Gysin maps

Harry Ullman (University of Sheffield)

Monday 31st October, 2011 15:00-16:00 416

Abstract

Links between residue theory and topology were first discovered by Quillen, who proved that a certain Gysin map, a type of map in cohomology related to the transfer, is naturally a residue map. We discuss the construction and proof of an equivariant version of the theorem which bypasses the formal group techniques originally used by Quillen and later by Strickland. We conclude by conjecturing further relations between Gysin maps and residue theory which would provide links between homotopy theory and local cohomology.

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