Speaker: Nathan Reading
Title: Mutation-linear algebra
Abstract: Matrix mutation is a strange operation that takes one matrix and “mutates” it to produce another matrix of the same dimensions. This operation appeared in the defi nition of cluster algebras about a decade ago and has since been discovered in seemingly di fferent areas of mathematics. Given n x n matrix, the operation of mutation also defi nes a family of piecewise-linear maps on ℝn. Mutation-linear algebra is the study of linear relations that are preserved under these “mutation maps.”