CORDIS Project
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This project investigates the derived categories of coherent sheaves on varieties, focusing on their applications in algebraic geometry and String Theory. It aims to enhance understanding of B-branes and their associated categories within the context of Gauged Linear Sigma Models and Artin stacks.
Derived categories of coherent sheaves on a variety are a fundamental tool in algebraic geometry.
They also arise in String Theory, as the category of B-branes in a quantum field theory whose target space is the variety.
This connection to physics has been extraordinarily fruitful, providing deep insights and conjectures.
An Artin stack is a sophisticated generalization of a variety, they encode the idea of equivariant geometry. A simple example is a vector space carrying a linear action of a Li…
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