BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Cluster algebras and discrete integrable systems - Hone\, A (Unive
 rsity of Kent)
DTSTART:20130709T130000Z
DTEND:20130709T133000Z
UID:TALK46147@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We consider a large family of nonlinear rational recurrence re
 lations which arise from mutations in cluster algebras defined by quivers.
  The advantage of the cluster algebra formalism is that it immediately pro
 vides an invariant symplectic (or presymplectic) structure. The problem of
  determining which of the recurrences are integrable in the sense of Liouv
 ille's theorem is related to the notion of algebraic entropy\, and via a s
 eries of conjectures related to tropical (max-plus) algebra\, this leads t
 o a very sharp criterion for the allowed degrees of the terms in the recur
 rence. As a result\, four infinite families of discrete integrable systems
  are obtained. This is joint work with Allan Fordy.\n
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR