BIREP – Representations of finite dimensional algebras at Bielefeld
BIREP header picture 1
BIREP header picture 2
 

Cl.ARG: Cluster Algebra Reading Group

Tuesday, 26 May 2015 to Wednesday, 27 May 2015

Joint reading group on anything related to cluster algebras with Institut für Algebra, Zahlentheorie und Diskrete Mathematik in Hanover and the Bielefeld Representation Theory Group

.

Summer semester 2014: Cluster categories and tilting theory

In four full-day sessions, we covered the following papers: Buan-Marsh-Reineke-Reiten-Todorov, Buan-Marsh-Reiten-Todorov, Buan-Iyama-Reiten-Scott, Keller, Caldero-Keller, Caldero-Chapoton and Geiß-Leclerc-Schröer. We thank both faculties for letting us use the necessary facilities as well as the DFG for covering travel expenses.
.

Winter semester 2014/15: Cluster structures between lower and upper bounds

In several sesssions we investigated upper and lower bounds, as well as related topics and thus read the following articles: Berenstein, Fomin, Zelevinsky, Canakci, Lee, Schiffler, Muller, Muller, first sections of Gross, Hacking, Keel, Kontsevich. We thank both faculties for providing us with appropriate facilities as well as the DFG for covering travel expenses.
.

Summer semester 2015: Scattering diagrams and their applications

We want to focus on the recent paper of Gross, Hacking, Keel and Kontsevich: Canonical bases for cluster algebras. The aim is to understand the geometric methods and their connections to cluster algebras. We are happy to welcome Travis Mandel as a special guest on this topic.

Tuesday, 26 May 2015

9:30-12:30Scattering diagrams and Tropicalisations
14:00-17:00Broken lines and building cluster algebras from scattering diagrams

Wednesday, 27 May 2015

10:00-12:00 Talk by Travis Mandel in our Seminar on Representation Theory
13:30-16:30Remaining chapters and applications in other articles
.

About us

Consisting of both PhD students and Post-Docs, our group is mostly composed of members of the universities in Bielefeld and Hanover.

The purpose of our meetings is, simply put, to better understand main constructions in cluster theory and related fields. As academics backgrounds of the participants vary, we also want to use the meetings to share ideas, experiences and together get a better grasp on newly developed constructions.

The main organisers of the joint reading group are Sira Gratz (Hanover) and Florian Gellert (Bielefeld). Please see their respective websites for contact details if you would like to join, share comments or thoughts.

Details on funding

We are lucky to have found backers of our efforts in the form of Henning Krause and Thorsten Holm who are members of the DFG SPP 1388, Schwerpunktprogramm Darstellungstheorie. Our thanks also go to Peter Littelmann, the Schwerpunkt coordinator, for his instant admission.