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Colloquium: Nathan Reading (North Carolina State University)

Tuesday, March 05
4:00 PM
135 TMCB

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 definition of cluster algebras about a decade ago and has since been discovered in seemingly different areas of mathematics. Given n x n matrix, the operation of mutation also defines a family of piecewise-linear maps on ℝn. Mutation-linear algebra is the study of linear relations that are preserved under these “mutation maps.”