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Monday, February 5, 2018

**Abstract:** Cluster algebras appears as the coordinate ring of many interesting objects. We recall the notion of a cluster ensemble which consists of a cluster A variety and its corresponding cluster X variety. The compatible Poisson structures on these spaces are log-canonical. We construct the symplectic groupoid of the log-canonical Poisson structure on each cluster chart, and lift the cluster mutations to groupoid mutations.

Monday, February 19, 2018

Monday, March 12, 2018

Monday, March 26, 2018

Monday, April 16, 2018

Monday, April 30, 2018