| Abstract: |
The category of perverse sheaves of a variety is a very nice category, but it is sometimes not easy to work with using only its definition as the heart of a t-structure. For this reason, a lot of work was put in to find explicit descriptions of this category for specific varieties in terms of, say, quiver representations. The subject of the talk is the category of perverse sheaves on a smooth toric variety (or stack), specifically, its explicit description as a category of finite-dimensional modules over an algebra. This algebra turns out to be finite over its center, the algebra of regular functions of a torus, which allows us to view perverse sheaves as some very special coherent sheaves on a torus. If time allows, I will also present some preliminary results in the non-smooth case.
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