Lorentz Center - Discrete Integrable Systems from 18 Jul 2011 through 22 Jul 2011
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    Discrete Integrable Systems
    from 18 Jul 2011 through 22 Jul 2011

 

Program

 

Monday July 18: Detection and testing of Discrete Integrable Systems

 

09:00 10:00 Registration and coffee and tea

10:00 10:30 Introduction by the manager of the Lorentz Center and the scientific organizers

10:30 11:00 Rod Halburd Growth and Integrability

11:00 11:30 Dmitry Demskoi Integrable and non-integrable dual equations

11:30 12:00 Jean-Marie Maillard Renormalization, isogenies and rational symmetries of differential equations

 

12:00 14:30 Lunch and informal discussion

14:30 15:00 Gloria Mari-Beffa Generalizations of the pentagram map discretizations of AGD flows

15:00 15:30 Coffee and Tea

15:30 17:00 Discussion and/or possible talks, moderated by Claude-Michel Viallet

17:00 19:00 Wine and Cheese party

 

Tuesday July 19: Symmetries, Integrals, Conservation laws, and Symplectic structures

 

09:00 09:30 Jing Ping Wang Recursion operators of the Viallet equation

09:30 10:00 Fedor Soloviev Integrability of the Pentagram map

10:00 10:30 Decio Levi Symmetries and transformations for integrability and linearizability tests of quad--graph equation

10:30 11:00 Coffee and Tea

11:00 11:30 Pavlos Xenitidis Symmetry algebra of discrete KdV equations and corresponding differential-difference equations of Volterra type

11:30 12:00 Kenichi Maruno Discrete Integrable Systems and Hodograph Transformations Arising from Motions of Discrete Plane Curves

 

12:00 14:30 Lunch and informal discussion

14:30 15:00 Adrian Stefan Carstea Invariants of non-QRT mappings and rational elliptic surfaces of higher index

15:00 15:30 Coffee and Tea

15:30 17:00 Discussion and/or possible talks, moderated by Andy Hone

 

Wednesday July 20: Reductions and Solutions

 

09:00 09:30 Andy Hone Tropicalization and algebraic entropy of symplectic maps from cluster algebras.

09:30 10:00 Da-jun Zhang Some generalizations for discrete integrable systems

10:00 10:30 Kenji Kajiwara An explicit formula for the discrete power function associated with circle patterns of Schramm type

10:30 11:00 Coffee and Tea

11:00 11:30 James Atkinson Singular-boundary reductions of Q4

11:30 12:00 Mike Hay Bilinearization and special solutions to the discrete Schwarzian KdV equation

 

12:00 14:30 Lunch and informal discussion

14:30 15:00 Reinout Quispel Integrable partial difference equations and their reductions

15:00 15:30 Coffee and Tea

15:30 17:00 Discussion and/or possible talks, moderated by Jarmo Hietarinta

 

17:15 Departure by bus to Restaurant Allemansgeest, Voorschoten

18:00 21.00 Workshop dinner at Restaurant Allemansgeest

21:00 Departure by bus to Hotel Van der Valk Leiden, Lorentz Center and Leiden train station

 

Thursday July 21: Multi-dimensional Consistency, Lagrangian Forms

 

09:00 10:30 Frank Nijhoff New variational principle for Integrable Systems

Sikarin Yoo-Kong Lagrangian 1 forms and the Calogero-Moser system

Sarah Lobb Integrability of long-legged equations

10:30 11:00 Coffee and Tea

11:00 11:30 Raphael Boll On Lagrangian Structures of 3D Consistent Systems of Quad-Equations

11:30 12:00 Maciej Nieszporsk On non-multiaffine consistent around the cube lattice equations

 

12:00 14:30 Lunch and informal discussion

14:30 15:00 Vassilios Papageorgiou Yang-Baxter maps, dynamic YB maps, entwining YB maps and integrable lattices

15:00 15:30 Coffee and Tea

15:30 17:00 Discussion and/or possible talks, moderated by Yuri Suris

 

Friday July 22: Geometric approaches to Discrete Integrable Systems

 

09:00 09:30 Alexander Veselov Geometry of quadrirational Yang-Baxter maps

09:30 10:00 Christopher Ormerod q-Schlesinger transformations for an associated linear problem for q-P(A2(1))

10:00 10:30 Jasper Stokman The relation between quantum relativistic Calogero-Moser systems and quantum Knizhnik-Zamolodchikov equations

10:30 11:00 Coffee and Tea

11:00 11:30 Igor Krichever Analytic theory of linear difference equations and its applications

11:30 12:00 Adam Doliwa Pentagon equation, incidence geometry, and Hirota's discrete KP equation

 

12:00 13:30 Lunch and informal discussion

13:30 14:30 Discussion and/or possible talks, moderated by John Roberts

14:30 15:00 Coffee and Tea

15:00 16:00 Alexander Bobenko Discrete integrable systems with convex variational principles



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