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. Please note that changes may occur.
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
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 GulbrandsenHead of Department:
Bjørn Henrik AuestadMethod 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
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.