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# Galyna Dobrovolska, Special Colloquium

## November 30, 2017 @ 4:00 pm - 5:00 pm

**Title: ** *A geometric Fourier transform, noncommutative resolutions, and Hilbert schemes *

**Abstract: **I will start by defining and computing an example of a geometric Fourier transform for constructible functions, and more generally for constructible sheaves. Next I will explain how geometric representation theory can be used to study categories of modules over Lie algebras and more general algebras which quantize symplectic resolutions. Lastly I will apply the above techniques in the case of the Hilbert scheme of points in the plane.