Embedded Files
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.
Thursday 11.Dec.2025, 17:00 Central European Time
Thursday 11.Dec.2025, 17:00 Central European Time
Plabic tangles, promotion maps, and quasi-cluster homomorphisms
Plabic tangles, promotion maps, and quasi-cluster homomorphisms
Melissa Sherman-Bennett (UC Davis).
Melissa Sherman-Bennett (UC Davis).
Abstract. I'll discuss a construction for rational "promotion" maps between products of Grassmannians using vector-relation configurations on certain planar bipartite graphs. In special cases, promotion maps (essentially) recover Fraser's braid group action on the Grassmannian and the splicing maps of Gorsky-Scroggin. We conjecture that promotion maps are quasi-cluster homomorphisms, that is, they respect the cluster structure "up to frozens". This conjecture has interesting implications for the amplituhedron, a geometric object which encodes particle scattering formulas. This is joint work with Chaim Even-Zohar, Matteo Parisi, Ran Tessler, and Lauren Williams.
Upcoming Talks
Upcoming Talks
Thursday 11.Dic.2025: Melissa Sherman-Bennett.
Thursday 08.Jan.2026: Lidia Angeleri Hügel.
Previous Talks
Previous Talks
Thursday 13.Nov.2025: Sergey Fomin. Cyclically ordered quivers.
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.
Page updated
Google Sites
Report abuse