Topics in Algebraic Geometry (MAT910)
Course is aimed at PhD students in mathematics and/or theoretical physics and /or mathematical physics.
Course description for study year 2023-2024. Please note that changes may occur.
Semester tution start
Number of semesters
Language of instruction
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.
After completing this course, the student should have fundamental knowledge of deformation theory and moduli theory in algebraic geometry.
Required prerequisite knowledge
Basic knowledge of Algebraic Geometry.
|Form of assessment||Weight||Duration||Marks||Aid|
|Oral exam||1/1||Passed / Not Passed||None permitted|
Course coordinator:Martin Gunnar Gulbrandsen
Head of Department:Bjørn Henrik Auestad
Method of work
5 hours lectures and exercise sessions each week. In case of few students, the course may be organized as a guided self-study course.
PhD-program in mathematics and physics
There must be an early dialogue between the course coordinator, the student 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.