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Schedule, Notes/Handouts & Videos

Cluster Algebras in Combinatorics, Algebra, and Geometry October 29, 2012 - November 02, 2012

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Oct 29, 2012
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  tau-tilting theory 1
Idun Reiten
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Quiver varieties and derived categories
Bernhard Keller (Université de Paris VII (Denis Diderot))
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Independence for exchange graphs and cluster complexes
Pierre-Guy Plamondon (Université de Paris XI (Paris-Sud))
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Higher-dimensional analogues of cluster structures
Hugh Thomas (Université du Québec à Montréal)
Oct 30, 2012
Tuesday
09:30 AM - 10:30 AM
  Reflection group presentations arising from cluster algebras
Robert Marsh
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  The hexahedron recurrence and the Ising model
Richard Kenyon (Brown University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Diagrammatic description of c-vectors and d-vectors of cluster algebras of finite type
Tomoki Nakanishi (Nagoya University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Periodicity, positivity and integrability of T-systems
Philippe Di Francesco (University of Illinois at Urbana-Champaign)
04:30 PM - 06:20 PM
  Reception
Oct 31, 2012
Wednesday
09:30 AM - 10:30 AM
  Cluster algebras from orbifolds
Anna Felikson
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Combinatorics of KP solitons from the real Grassmannian
Lauren Williams (Harvard University)
02:00 PM - 03:00 PM
  Mutation-Linear Algebra: The Notion of a Basis for B
Nathan Reading (North Carolina State University)
Nov 01, 2012
Thursday
09:30 AM - 10:30 AM
  On Generic Bases for Cluster Algebras
Christof Geiss (UNAM - Universidad Nacional Autonoma de Mexico)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Non-simply laced quantum affine algebras and cluster algebras
David Hernandez
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Total positivity, loop groups and electrical networks
Pavlo Pylyavskyy
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  tau-tilting theory 2
Osamu Iyama
Nov 02, 2012
Friday
09:30 AM - 10:30 AM
  Cremmer-Gervais Cluster Algebras
Michael Gekhtman (University of Notre Dame)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Generalized cluster algebra and Teichmüller spaces of Riemann surfaces with orbifold points of arbitrary order (joint with L.Chekhov)
Michael Shapiro (Michigan State University)