Topics in Algebraic Geometry (MAT910)

Course is aimed at PhD candidates in mathematics and/or theoretical physics and /or mathematical physics.


Course description for study year 2025-2026

See course description and exam/assesment information for this semester (2024-2025)
Facts

Course code

MAT910

Version

1

Credits (ECTS)

10

Semester tution start

Spring, Autumn

Number of semesters

1

Exam semester

Autumn

Language of instruction

English

Offered by

Content

Deformation theory of rings, schemes and sheaves. Construction/properties of Hilbert schemes. Representable functors, coarse and fine moduli spaces. Construction/properties of moduli spaces of sheaves and curves.

Learning outcome

After completing this course, the student should have fundamental knowledge of deformation theory and moduli theory in algebraic geometry.

Required prerequisite knowledge

None

Recommended prerequisites

Basic knowledge of Algebraic Geometry.

Exam

Form of assessment Weight Duration Marks Aid
Oral exam 1/1 Passed / Not Passed None permitted

Course teacher(s)

Course coordinator:

Martin Gunnar Gulbrandsen

Head of Department:

Bjørn Henrik Auestad

Method of work

Five hours of lectures and exercise sessions each week. In case of few students, the course may be organized as a guided self-study course.

Open for

PhD-studies in mathematics and physics

Admission requirements

 

Course assessment

The faculty decides whether early dialogue should be conducted in all or selected groups of courses offered by the faculty. The purpose is to gather feedback from students for making changes and adjustments to the course during the current semester. In addition, a digital evaluation, students’ course evaluation, must be conducted at least once every three years. Its purpose is to collect students` experiences with the course.

Literature

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