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A monthly online seminar to try and keep up with cluster developments
Welcome to the website of the Cluster Colloquium!
Starting on February 2025, at 16:00 UTC of the second Thursday of every month, we will have guest speakers who will deliver one-hour online talks on current research topics related to cluster algebras and cluster varieties.
Next talk: Thursday 10.Jul.2025, 16:00 UTC
Next talk: Thursday 10.Jul.2025, 16:00 UTC
Topology of cluster varieties
Topology of cluster varieties
Thomas Lam (University of Michigan).
Thomas Lam (University of Michigan).
Abstract. I will discuss the topology of the real and complex cluster varieties, and the behavior of cluster varieties over finite fields. These questions are related to a range of topics, including q,t-Catalan theory, knot invariants and knot homology, connected components of real double Bruhat cells, Tutte polynomials, and so on. My goal is to draw a parallel between cluster varieties and the well-studied case of hyperplane arrangement complements.
The talk is based on joint work with Pavel Galashin, and with David Speyer.
Upcoming Talks
Upcoming Talks
Thursday 10.Jul.2025: Thomas Lam.
Previous Talks
Previous Talks
Thursday 13.Feb.2025: Lauren Williams. Cluster duality and mirror symmetry for Schubert varieties in the Grassmannian.
Thursday 13.Mar.2025: Ralf Schiffler. Knot theory and cluster algebras.
Thursday 10.Apr.2025: James Drummond. Tropicalised braid automorphisms for Grassmannian cluster algebras.
Wednesday 14.May.2025: Léa Bittmann. Infinite friezes of affine type D.
Thursday 12.Jun.2025: Dani Kaufman. Positivity and noncommutative cluster algebras.
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