Course
Topics in Algebraic Geometry (MAT910)
Course is aimed at PhD candidates in mathematics and/or theoretical physics and /or mathematical physics.
Dette er emnebeskrivelsen for studieåret 2025-2026. Merk at det kan komme endringer.
Fakta
Emnekode
MAT910
Vekting (stp)
10
Semester undervisningsstart
Autumn
Undervisningsspråk
English
Antall semestre
1
Vurderingssemester
Autumn
Timeplan
Litteratur
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.
Forkunnskapskrav
Ingen
Anbefalte forkunnskaper
Basic knowledge of Algebraic Geometry.
Exam
| Form of assessment | Weight | Duration | Marks | Aid |
|---|---|---|---|---|
| Oral exam | 1/1 | Passed / Not Passed | None permitted |
Fagperson(er)
Head of Department:
Bjørn Henrik AuestadCourse coordinator:
Martin Gunnar GulbrandsenMethod 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.
Åpent for
PhD-studies in mathematics and physics
Emneevaluering
There must be an early dialogue between the course supervisor, the student union representative and the students. The purpose is feedback from the students for changes and adjustments in the course for the current semester.In addition, a digital course evaluation must be carried out at least every three years. Its purpose is to gather the students experiences with the course.
The course description is retrieved from FS (Felles studentsystem). Version 1