Logo

Mathematical Sciences Research Institute

Home » Laurent phenomenon algebras II

Seminar

Laurent phenomenon algebras II September 12, 2012 (03:30PM PDT - 04:30PM PDT)
Location: MSRI: Simons Auditorium
Speaker(s) Pavlo Pylyavskyy
Description No Description

Video
No Video Uploaded
Abstract/Media

In a joint work with Thomas Lam we use a deformation of Serre relations to define a family of Lie groups acting on planar electrical networks. In this talk I will explain how coordinate rings of those groups can be naturally endowed with Laurent phenomenon algebra structures. A combinatorial model for certain seeds of those algebras in terms of wiring diagrams has been studied by Henriques and Speyer under the name multidimensional cube recurrence. Our machinery of Laurent phenomenon algebras allows to extend this dynamics beyond the part modeled by wiring diagrams.

No Notes/Supplements Uploaded No Video Files Uploaded