AGQ integrability seminar

This is an informal gathering of people interested in integrable systems from the University of Edinburgh, Heriot-Watt University and the University of Glasgow.

The seminar runs bi-weekly on Thursdays alternating between Edinburgh (Bayes Centre, room 5.46) and Glasgow (University of Glasgow, School of Mathematics and Statistics, usually room 311B).

Organizers: Sasha Shapiro (UoE), Yegor Zenkevich (UoE), Robert Weston (HWU), Alexander Cooper (HWU), Anton Izosimov (UoG), Jules Lamers (UoG), Christian Korff (UoG).

Next seminars:

October 9, 2025, Edinburgh (UNUSUAL LOCATION: Lecture Theatre A, 40 George Square)

13:00-13:45 Mikhail Vasiliev (University of Glasgow)

Introduction to cluster algebras
 
I will give a brief introduction to cluster algebras. We will discuss several simple examples to illustrate how the machinery of cluster algebras work. I will also introduce Poisson structure arising in cluster algebras, which will be used by Anton in his talk.
 

14:15-15:45 Anton Izosimov (University of Glasgow)

Cluster integrable systems 
 
We’ll start with discussing the notion of a cluster integrable system due to Goncharov and Kenyon, along with a few examples of such systems. Then I’ll explain why such systems can be viewed as “type A” objects and discuss how to construct their counterparts for (some) other Dynkin types.
 

October 23, 2025, Glasgow (UNUSUAL LOCATION: room 432, St Andrew’s Building)

TBA

Past seminars: 

September 25, 2025, Glasgow

Yegor Zenkevich (University of Edinburgh)

Introduction to quantum toroidal algebras and integrability

 

Seminar notes: