Caldero–Chapoton formulas for generalized cluster algebras from orbifolds
Lang Mou (HMI Bonn, Germany)
Abstract: To a marked bordered surface with orbifold points of order 3, we associated a quiver (with loops) with potential. We then connect the cluster structure of the corresponding skew-symmetrizable matrix with the stability conditions and the $\tau$-tiliting theory of the Jacobian algebra. Finally we provide Caldero–Chapoton type formulas for cluster monomials of the generalized cluster algebra of Chekhov and Shapiro associated to the surface. This is joint work with Labardini-Fragoso
mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry
Audience: researchers in the topic
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