Speaker
Alexey Lvov
Description
We define and study the category $Coh(C_X)$ associated with an algebraic variety X. The category $Coh(C_X)$ is an inductive limit of categories of coherent sheaves on singular models of X. It can be thought of as a category of coherent sheaves on a maximally singular model of X. We will discuss the description and various properties of $Coh(C_X)$, in particular it's global dimension.