Organizers: Karin Baur, Ana Garcia Elsener, Sibylle Schroll, Hipolito Treffinger.

This event will take place during the Cluster Algebras and Representation theory semester (CAR) at the Newton Institute, Cambridge, from 6 September 2021 to 17 December 2021.

To participate, please apply through https://www.newton.ac.uk/event/carw01/ and https://www.newton.ac.uk/event/carw02/ by the 12th of August 2021.

There is no fee for those attending the conferences virtually. Note that both events are independent of each other. If you want to participate in both, please apply to both events.

(note that during the application process you will be asked which days you stay at the Newton Institute - just pick all dates of the event, even if you are participating online. When you are setting a password during your registration, look in your SPAM folder for the INI email)

Research School: New developments in representation theory arising from cluster algebras

13th to 17th of September 2021


The aim of this week is to give an introduction of some of the most active areas of study in representation theory.


The footage of the school can be found here:

https://www.youtube.com/playlist?list=PL9-ncTy2ag0H97kFdEKXcwzLjq3j46rIt


There will be five courses:

Stability conditions and silting (D. Pauksztello - Lancaster University);

Notes lecture 1

Notes lecture 2

Notes lecture 3

full notes



Dimer models (C. Beil - University of Graz);

Slides lecture 1

Slides lecture 2

Slides lecture 3

Slides lecture 4


Matrix factorisations (E. Faber- University of Leeds);

Notes lecture 1

Notes lecture 2

Notes lecture 3

Notes lecture 4


Extriangulated categories (Y. Palu - LAMFA, Université Picardie Jules Verne);

Notes lecture 1

Notes lecture 2

Slides lecture 3

Notes lecture 4


Grassmannians and amplituhedra (L. Williams - Harvard University);

Notes lecture 1

Notes lecture 2

Notes lecture 3

Notes lecture 4

Conference: New developments in representation theory arising from cluster algebras

20th to 24th of September 2021


The aim of this workshop is to share the latest developments in these cluster-inspired areas of research and discuss their future development.


The footage of the conference can be found here:

https://www.youtube.com/playlist?list=PL9-ncTy2ag0FiK_eYlHVs2Nv3NNUh79-y


Speakers:


C. Amiot (Grenoble)

Notes of the talk


J. August (MPI / Aarhus)


T. Brüstle (Sherbrooke)

Notes of the talk


C. Fraser (Minnesota)

Notes of the talk


S. Gratz (Glasgow)


K. M. Jacobsen (Aarhus/NTNU)


P. Jørgensen (Aarhus)


D. Labardini (Mexico)

Notes of the talk


A. Nasr-Isfahani (Isfahan)


P-G. Plamondon (Versailles)

Notes of the talk


M. Pressland (Leeds)

Notes of the talk


Y. Qiu (Tsinghua)


R. Schiffler (Connecticut)

Notes of the talk


K. Serhiyenko (Kentucky)


Y. Valdivieso (Leicester)


M. Wemyss (Glasgow)


E. Yildirim (Kingston)


Y. Zhou (Tsinghua)

For more details, please contact the organisers.

The image in the banner of this webpage is due to Bernhard Keller.