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A monthly online seminar to try and keep up with cluster developments
Welcome to the website of the Cluster Colloquium!
On the 9-th of October 2025, at 17:00 CET we have resumed activities. The second Thursday of every month, we have guest speakers delivering one-hour online talks on current research topics related to cluster algebras and cluster varieties.
Next talk: Thursday 13.Nov.2025, 17:00 Central European Time
Next talk: Thursday 13.Nov.2025, 17:00 Central European Time
Cyclically ordered quivers
Cyclically ordered quivers
Sergey Fomin (University of Michigan).
Sergey Fomin (University of Michigan).
Abstract. Quiver mutations form the combinatorial backbone of the theory of cluster algebras. In joint work with Scott Neville, we develop an approach to quiver combinatorics based on endowing a quiver with additional combinatorial structure: a cyclic ordering of its vertices. This structure, which naturally arises in many important applications, gives rise to new powerful mutation invariants.
Upcoming Talks
Upcoming Talks
Thursday 13.Nov.2025: Sergey Fomin.
Thursday 11.Dic.2025: Melissa Sherman-Bennett.
Thursday 08.Jan.2026: Lidia Angeleri Hügel.
Previous Talks
Previous Talks
Thursday 09.Oct.2025: Fan Qin. Quantum cluster structures on simple algebraic groups and the Berenstein–-Zelevinsky conjecture.
Thursday 10.Jul.2025: Thomas Lam. Topology of cluster varieties.
Thursday 12.Jun.2025: Dani Kaufman. Positivity and noncommutative cluster algebras.
Wednesday 14.May.2025: Léa Bittmann. Infinite friezes of affine type D.
Thursday 10.Apr.2025: James Drummond. Tropicalised braid automorphisms for Grassmannian cluster algebras.
Thursday 13.Mar.2025: Ralf Schiffler. Knot theory and cluster algebras.
Thursday 13.Feb.2025: Lauren Williams. Cluster duality and mirror symmetry for Schubert varieties in the Grassmannian.
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