Last updated: October 4, 2007
October 4 - 5, 2007
(University of Paris 7)
Date and Time
Thursday, Oct. 4, 4:30 - 5:30
215 Shillman Cluster algebras and quiver representations Friday, Oct. 5, 10:30 - 11:30
511 Lake Calabi-Yau categories and cluster algebras
Parking: please use the Gainsborough Street Parking Garage (behind the New England Conservatory of Music). This is Building 45 on this map
Parking vouchers are available during the Lectures.
Date and Time
Thursday, Oct. 4, 5:45 PM - 7:00 PM
Thursday, Oct. 4, 7:30 PM
Petit Robert Bistro
If you would like to join the dinner, please let the organizers know before 4 PM on Thursday, October 4.
Titles and Abstracts
To register or for further information, contact Alex Martsinkovsky alexmart >at< neu >dot< edu or Gordana Todorov g.todorov >at< neu >dot< edu
- Lecture 1. Cluster algebras and quiver representations
Abstract: We will present the combinatorial construction of the cluster algebra associated with a quiver without loops or 2-cycles following Fomin and Zelevinsky. We will then report on the categorical interpretation of this algebra in the case of a quiver without oriented cycles (for example a Dynkin quiver). The main results presented at the end of the talk were obtained in joint work with Philippe Caldero. They are based on work by many authors, notably Buan, Marsh, Reineke, Reiten, Todorov and Zelevinsky.
- Lecture 2. Calabi-Yau categories and cluster algebras
Abstract: Recent work by many authors shows that large classes of cluster algebras can be "categorified" using certain triangulated categories which are Calabi-Yau of dimension 2. The main examples for such categories are the cluster categories associated with quivers without
oriented cycles and the stable module categories of preprojective algebras of Dynkin quivers. In this talk, we will present a unified framework for linking suitable 2-Calabi-Yau categories to cluster algebras following joint work with R. Dehy, C. Fu, Y. Palu, and I. Reiten.
NAME AFFILIATION Thomas Brustle University of Sherbrooke Andrew Carroll Northeastern University Giovanni Cerulli Irelli University of Padova Calin Chindris University of Minnesota François Huard Bishop's University Sachin Gautam Northeastern University Colin Ingalls University of New Brunswick Leila Khatami visiting Harvard Don King Northeastern University Michael King Boston College Mark Kleiner Syracuse University Daniel Labardini-Fragoso Northeastern University Shiping Liu University of Sherbrooke Alex Martsinkovsky Northeastern University David Massey Northeastern University Mara Neusel Texas Tech Charles Paquette University of Sherbrooke Pierre-Guy Plamondon University of Sherbrooke Jeremy Russell Northeastern University Ralf Schiffler University of Massachusetts, Amherst Kavita Sutar Northeastern University Gordana Todorov Northeastern University Thao Tran Northeastern University Jerzy Weyman Northeastern University Kristin Webster Northeastern University Shih-Wei Yang Northeastern University Andrei Zelevinsky Northeastern University Sebastian Zwicknagl University of California, Riverside
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