Student Combinatorics and Algebra Seminar


Abstract 

A reductive monoid is a Zariskiclosed monoid whose group of units is a reductive group. These objects live at a nexus of several important areas of mathematics. They relate to semigroup theory: reductive monoids are exactly those algebraic monoids that are regular as semigroups. They relate to algebraic geometry: monoids are simpler geometrically than groups, and this geometry is heavily dependent on a particular torus embedding. And in many ways, the theory of reductive monoids parallels that of reductive groups.
