Clusters and their Applications in the North (CLAN): Third Meeting

Description

Cluster theory is a significant mathematical success story, with its study having permeated many subjects in mathematics and mathematical physics despite its relatively recent introduction at the turn of the millennium. Indeed, the combinatorics of exchanges, central to Fomin and Zelevinsky’s definition of cluster algebras, has incarnations in contexts as diverse as topology and complex analysis (Skein relations), algebraic geometry (flopping curves) and representation theory (mutations of tilting and silting objects). This ubiquity has led to striking applications including Keller’s proof of the Zamolodchikov periodicity conjecture, Wemyss’ homological minimal model programme, and computations of scattering amplitudes in theoretical physics. In recent years, the north of the UK has become a hotbed of research groups interacting with different aspects of cluster theory – the CLAN network seeks to bring together this growing community and provide regular opportunities for close collaboration.

Period	31/03/2025
Event type	Workshop
Location	Durham, United KingdomShow on map
Degree of Recognition	Regional