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Idun Reiten: Cluster categories and cluster algebras

Idun Reiten, Norwegian University of Science and Technology, Trondheim

Time: Wed 2010-09-01 16.00

Location: Room 3721, Lindstedtsvägen 25, Department of Mathematics, KTH

Cluster algebras were introduced by Fomin and Zelevinsky almost 10 years ago, in order to give a combinatorial framework for phenomena occurring for algebraic groups. In order to ”categorify” a class of cluster algebras we introduced, in work with Buan, Marsh, Reineke and Todorov, the cluster categories associated with finite quivers without oriented cycles. They have been used to get feedback on cluster algebras, and have led to further generalizations. The concepts will be illustrated through simple examples.

Coffee and tea served at 15.30.

Kollokvier 2010

Titel Datum
Torsten Ekedahl: The Sato-Tate conjecture 2010‑11‑03
Jesper Grodal: Finite loop spaces 2010‑11‑10
Amol Sasane: An analogue of Serre’s Conjecture and Control Theory 2010‑10‑13
Reiner Werner: Quantum correlations - how to prove a negative from finitely many observations 2010‑09‑29
Warwick Tucker: Validated Numerics - a short introduction to rigorous computations 2010‑09‑22
Idun Reiten: Cluster categories and cluster algebras 2010‑09‑01
Stefano Demichelis: Use and misuse of mathematics in economic theory 2010‑05‑26
Gregory G. Smith: Old and new perspectives on Hilbert functions 2010‑04‑14
Tony Geramita: Sums of Squares: Evolution of an Idea. 2010‑03‑31
Jens Hoppe: Non-commutative curvature and classical geometry 2010‑03‑24
Margaret Beck: Understanding metastability using invariant manifolds 2010‑03‑03
Jan-Erik Björk: Glimpses from work by Carleman 2010‑02‑10