#### UM Math Graduate Student Seminar

Chris Langdon
University of Miami

will present

#### Groebner Bases

Friday, October 30, 2015, 5:00pm
Ungar Building Room 402

Abstract:

Given an ideal I in k[x1,...xn] and a fixed monomial ordering, there exists a special generating set called a Groebner basis. We will look at the construction of these bases and see what information they encode about the affine algebraic variety defined by I. We will see that one of these bases gives the dimension of the variety while another gives information about the projections of the variety onto subspaces of k^n.

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