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Towards intersection homology theory for real algebraic varieties

Speaker(s)
Adam Parusiński
Affiliation
Nicea
Date
May 10, 2018, 2:15 p.m.
Room
room 4060
Seminar
Seminar Algebraic Topology

We present a definition of intersection homology for real algebraic varieties that is analogous to Goresky and MacPherson’s original definition of intersection homology for complex varieties. This definition is not purely topological and uses the algebraic variety structure. We show that it has the expected properties in two cases when the varietyadmits a small resolution and when the singularities are isolated.