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New developments in representation theory arising from cluster algebras


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20th September 2021 to 24th September 2021
Hipolito Treffinger
Karin Baur
Ana Garcia Elsener
Sibylle Schroll

Workshop theme:

Cluster algebras were defined by Fomin and Zelevinsky as a combinatorial tool to understand Luztig's dual canonical bases and total positivity. It was quickly noticed that cluster algebras could be successfully categorified using the representation theory of finite dimensional algebras. Furthermore, the categorification of cluster algebras introduced many novel innovative ideas to representation theory, giving rise to new areas of study that today are central to the theory such as higher homological algebra, Calabi-Yau categories and τ-tilting theory. The aim of this workshop is to share the latest developments in these cluster-inspired areas of research and discuss their future development.

Deadline for applications: 20th June 2021

CAR programme participants DO NOT need to apply, programme participants with visit dates during CARW02 will automatically be added to the attendee list.

Please note members of Cambridge University are welcome to turn up and sign in as a non-registered attendee on the day(s) during the workshop and attend the lecture(s). Please note that we cannot provide you with any support including name badge, meals or accommodation.

In addition to visiting the INI, there are multiple ways in which you can participate remotely.

Apply now


Registration Only    
  • Registration Package: £TBC
  • Student Registration Package: £TBC

The Registration Package includes admission to all seminars, lunches and refreshments on the days that lectures take place (Monday - Friday), wine reception and formal dinner, but does not include other meals or accommodation.

Formal Dinner Only
  • Formal Dinner: £50

Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event. For all remaining participants who would like to attend, such as programme participants, the above charge will apply.


Unfortunately we do not have any accommodation to offer so all successful applicants will need to source their own accommodation.  Please see the Hotels Combined website for a list of local hotels and guesthouses.



Lunch timings and location will be confirmed with timetable.

Evening Meal

Participants are free to make their own arrangements for dinner.

Formal Dinner

The Formal Dinner location and date is to be confirmed. Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons