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Localization techniques for singular algebraic varieties

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Speaker: 
Magdalena Zielenkiewicz
Affiliation: 
University of Warsaw/MPIM
Date: 
Tue, 2020-02-04 14:00 - 15:00
Location: 
MPIM Lecture Hall

The standard ways of computing, or indeed defining, invariants of singular varietis use the procedure of resolution of singularities. To explicitly know a resolution, however, requires a good understanding of the singularities of the variety in question.

I will talk about methods that can be applied to the study of singular varieties without resolution of singularities, which originate from localization theorems in topology. As an example, I will present some computations involving the torus-equivariant cohomology of the (refined) Hilbert scheme of points on the plane.

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