6 – 9 July 2021

University of Bath, UK

The Team will focus on Fock-Goncharov’s theory of cluster ensembles, which are two cluster varieties with a map between them. These are modelled on two (in general, roughly) dual lattices and a map between them. The goal is to relate the two parts of the cluster ensemble to Rietsch Williams’ two descriptions of the Newton-Okounkov cone for the Grassmannian, one coming directly from valuations of functions and the other from a potential. This is supposed to be understood as an instance of mirror symmetry.

The team also met in November 2021, December 2021 and March 2022

Organiser:

Alastair King (Bath, UK)

Participants:

Karin Baur (Leeds, UK)
Ilke Canakci (Amsterdam, The Netherlands)
Alastair King (Bath, UK)
Timothy Magee (KCL, UK)
Bethany Marsh (Leeds, UK)
Matthew Pressland (Leeds, UK)
Konstanze Rietsch (KCL, UK)
Xiuping Su (Bath, UK)
Bernt Tore Jensen (NTNU, Norway)