Calvin Fletcher (果酱视频 University)
Date
Wednesday January 29, 20253:00 pm - 4:00 pm
Location
Jeffery Hall, Room 319Event Category
Curves Seminar
Wednesday, January 29, 2025
Time: 3:00 p.m. Place: Jeffery Hall, Room 319
Speaker: Calvin Fletcher
Title: Hilbert Bases
Abstract: Given a rational cone, we can associate to it an affine semigroup. This result, referred to as Gordan's Lemma allows us to define a Hilbert basis for a rational cone. After computing some examples of Hilbert bases, we will turn to the question of how one computes a Hilbert basis. There is an algebraic solution to the problem, making use of Lawerence ideals. Finally, we will introduce the notion of saturation and its relationship to the normalization of the affine semigroup ring.