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math.SG2018
Symplectic groupoids for cluster manifolds
Songhao Li, Dylan Rupel
We construct symplectic groupoids integrating log-canonical Poisson structures on cluster varieties of type and over both the real and complex numbers.…
math.CO2018
Introduction to Cluster Algebras
Max Glick, Dylan Rupel
These are notes for a series of lectures presented at the ASIDE conference 2016. The definition of a cluster algebra is motivated through several examples, namely Markov triples, t…
math.RT2018
Cell Decompositions for Rank Two Quiver Grassmannians
Dylan Rupel, Thorsten Weist
We prove that all quiver Grassmannians for exceptional representations of a generalized Kronecker quiver admit a cell decomposition. In the process, we introduce a class of regular…