Vår 2024

MAT-3303 Algebraic Geometry - 10 stp

The course is administrated by

Institutt for matematikk og statistikk

Type of course

The course is included in the study program Mathematical Sciences- master. It may also be taken independent of study program upon approval of the Department of mathematics and statistics.

Course overlap

MAT-8303 Algebraic Geometry 10 ects

Course contents

For students interested in algebra, algebraic geometry or closely related areas. Covers affine and projective varieties, coordinate rings, Hilbert Nullstellensatz, Gröbner bases, dimension theory of varieties.

Admission requirements

Bachelor of science degree in mathematics or equal. Recommended prerequsites is MAT-3300 Algebra 2.

Application code is 9371.

Objective of the course

The candidate shall:

obtain solod knowledge in the theory of affine and projective varieties.
obtain background in the algorithmic solution of polynomial equations, in particular the theory of Gröbner bases
be be able to solve concrete problems in the topics mentioned above

Language of instruction

The language of instruction and the syllabus is English. Examination questions will be given in English, but may be answered either in English or a Scandinavian language.

Teaching methods

Lectures: Approx. 40 h. Coursework: Approx. 30 h.