Pure Mathematics Seminar: Peter Jorgensen
Peter Jorgensen, Newcastle University
Wednesday 16 October 2013, 1600-1700
A54, Postgraduate Statistics Centre Lecture Theatre
Please note the change of time.
SL_2-tilings and triangulations of the strip
SL_2-tilings were introduced by Assem, Reutenauer, and Smith in connection with frieses and their applications to cluster algebras.
An SL_2-tiling is a bi-infinite matrix of positive integers such that each adjacent 2 × 2-submatrix has determinant 1.
We construct a large class of new SL_2-tilings which contains the previously known ones. More precisely, we show that there is a bijection between our class of SL_2-tilings and certain combinatorial objects, namely triangulations of the strip.