“ Bulletin Board ”

School of Mathematics

IPM Workshop: CLUSTER ALGEBRAS AND QUIVER REPRESENTATIONS

School of Mathematics, IPM Tehran, Iran June 29-July 1, 2010 (Tir 8-10, 1389) Objective The aim of this workshop is to introduce the participants to the modern representation theory of quivers and finite-dimensional algebras and to present some recent developments, concerning in particular the theory of cluster algebras and its fascinating links to quiver representations. These subjects are one of the highlights of current research in representation theory, yielding an interesting mixture of combinatorial and homological techniques. The tools of homological algebra play a key role in these courses. The lectures will be started with background material from representation theory of algebras. Cluster algebras following Fomin- Zelevinsky will be introduced and their construction and main properties will be illustrated on examples. The categorification of cluster algebras both in the acyclic case using quiver representations and also in the general case using cluster categories associated with quivers with potentials will be discussed. Moreover, cluster tilting theory will be studied in details. Organizers Javad Asadollahi (University of Isfahan and IPM) Shokrollah Salarian (University of Isfahan and IPM) Speakers Saeid Azam (University of Isfahan and IPM) Finite (irreducible, reduced) Root Systems Apostolos Beligiannis (University of Ioannina, Greece) Relative Homology and (Strong) Cluster Tilting Subcategories (Extended Abstract) Bernhard Keller (Paris 7, France) Cluster Algebras, Quiver Representations and Triangulated Categories (Extended Abstract) List of Participants You may view the list of participants by clicking here . Time-Table You may view the .doc file of the schedule of the talks and registration fee by clicking here . Registration Please print and fill out the registration form and fax it to: (021) 22290648 or mail it to the address below: School of Mathematics, IPM, P. O. Box 19395-5746. (Registration is Closed.) Deadline Deadline for registration: June 18, 2010 (Khordad 28, 2010) Location School of Mathematics, Niavaran Bldg., Niavaran Square, Tehran, Iran Contact Information School of Mathematics, IPM P.O.Box: 19395-5746 Phone: 21 22290928 Fax: 21 22290648 E-mail: asadollahi@ipm.ir

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