Y -Meshes and generalized pentagram maps

03/03/2016 - 16:00
03/03/2016 - 17:30
John Harnad
Concordia University, Math Help Center, room 912.00 / Library Building, 1400 de Maisonneuve Blvd. West, Montréal

 This will be a review of the recent paper with this title by Max Glick and  Pavlo Pylavskyy (arXiv:1503.02057 ) To quote from their abstract:

"We introduce a rich family of generalizations of the pentagram map sharing the property that each generates an infinite configuration of points and lines with four points on each line. These systems all have a description as Y - mutations in a cluster algebra and hence establish new connections between cluster theory and projective geometry. Our framework incorporates many preexisting generalized pentagram maps due to M. Gekhtman, M. Shapiro, S. Tabachnikov, and A. Vainshtein and also B. Khesin and F. Soloviev. In several of these cases a reduction to cluster dynamics was not previously known." 

Last edited by on Fri, 02/26/2016 - 11:03