Logo

Mathematical Sciences Research Institute

Home » Tropical Colloquiium: Supertropical Algebra (Joint work with Z. Izhakian)

Seminar

Tropical Colloquiium: Supertropical Algebra (Joint work with Z. Izhakian) August 31, 2009
Parent Program: --
Location: MSRI: Simons Auditorium
Speaker(s) Dr. Louis Rowen
Description No Description
Video
No Video Uploaded
Abstract/Media

The supertropical domain is a cover of the max-plus algebra that enriches the algebraic structure and enables one to study tropical varieties directly in purely algebraic terms. It also permits one to develop matrix theory and linear algebra using methods paralleling classical algebraic techniques. In this talk we give the definition of supertropical domains and their algebraic varieities, and then turn to matrix algebra giving versions of the Hamilton-Cayley Theorem, the adjoint, Cramer's rule, eigenvectors and eigenvalues, the rank of matrices, linear dependence, and bases of tropical vector spaces.

No Notes/Supplements Uploaded No Video Files Uploaded