Speaker: Sergey Guminov (MIPT, HSE Moscow)
Abstract: The category of perverse sheaves of a variety is an abelian category with a multitude of pleasant properties. Unfortunately, its definition as a heart of t-structure is not really explicit. For example, it allows one to show that kernels and cokerneles exist in this category, but not how to compute them. For this and other reasons, a lot of work was put in to find explicit descriptions of this category for specific varieties in terms of, say, quiver representations. In my talk, I will introduce perverse sheaves and try to indicate why they are worth studying, and then discuss how to describe the category of perverse sheaves on a toric variety (or stack) 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.
Time: 16:00-19:00, Monday, March 24th
Location: Room 1110, SIMIS
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