Topology Seminar (Introductory Talk): Intersection homology and perverse sheaves

Seminar | March 21 | 2-3 p.m. | 740 Evans Hall

 Ciprian Manolescu, UCLA

 Department of Mathematics

I will sketch several different constructions of intersection homology, a version of homology for singular spaces developed by Goresky and MacPherson. One construction involves the theory of perverse sheaves, which I will also introduce. Perverse sheaves arise naturally from vanishing cycles, in the study of complex singularities.