Stacks and duality in non-commutative algebraic geometry.

An important class of results in algebraic geometry are so-called duality statements, by which we try to relate less-understood objects to more well-known ones. In the development of modern algebraic geometry, stacks have played a crucial role. In this project we will develop a theory of stacks from the point of view of non-commutative algebraic geometry, which should enhance our understanding of Grothendieck duality, and allow the investigation of interesting new applications within (non-commutative) algebraic geometry and cluster theory.

Keywords:NON-COMMUTATIVE ALGEBRA, ALGEBRAIC GEOMETRY

Disciplines:Algebra

Project type:Collaboration project