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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 2022-2023

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 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
5 hours 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-program in mathematics and physics
Course assessment
According to general guidelines.
Literature
Search for literature in Leganto