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Tue, 23/02 14:00 |
Kentaro Nagao (Oxford and Kyoto) | Algebraic and Symplectic Geometry Seminar | SR1 |
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Let |
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Tue, 23/02 15:45 |
Kentaro Nagao (Oxford and Kyoto) | Algebraic and Symplectic Geometry Seminar | L3 |
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I will introduce the theory of cluster categories after Amiot and Plamondon. For a quiver with a potential, the cluster category is defined as the quotient of the category of perfect dg-modules by the category of dg-modules with finite dimensional cohomologies. We can show the existence of the equivalence in the first talk as an application of the cluster category. I will also propose a definition of a counting invariant for each element in the cluster category. |
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Tue, 02/03 15:45 |
Gergely Berczi (Oxford) | Algebraic and Symplectic Geometry Seminar | L3 |
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Tue, 09/03 14:00 |
Charles Doran (Alberta) | Algebraic and Symplectic Geometry Seminar | SR1 |
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Tue, 09/03 15:45 |
Charles Doran (Alberta) | Algebraic and Symplectic Geometry Seminar | L3 |
be a quiver with a potential given by successive mutations from a quiver with a potential
. Then we have an equivalence of the derived categories of dg-modules over the Ginzburg dg-algebras satisfying the following condition: a simple module over the dg-algebra for