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Description

Commutative algebra seminar

Tuesday 27th March 11.30-1.00
Venue: Room 215
Speaker: Madhusudan Manjunath
Title: Groebner bases of Toric Ideals.

Abstract: This is the first of two lectures where we'll cover Groebner
bases of toric ideals. We start with an introduction to toric ideals and
then study their Grobener bases. Our main goal will be a theorem of Bernd
Sturmfels from 1991 that relates (certain) initial ideals of toric ideals
to regular triangulations of an associated point configuration. The
lectures are based on Chapters 4 and 8 of the book ``Groebner Bases and
Convex Polytopes'' by Sturmfels.