Coherent sheaves on maximally singular varieties

7 Feb 2025, 11:30
1h
Lecture Hall (Kavli IPMU)

Lecture Hall

Kavli IPMU

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.

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