Course
Topics in Algebraic Geometry (MAT910)
Course is aimed at PhD students in mathematics and/or theoretical physics and /or mathematical physics.
Dette er emnebeskrivelsen for studieåret 2017-2018. Merk at det kan komme endringer.
Semesters
Fakta
Emnekode
MAT910
Vekting (stp)
10
Semester undervisningsstart
Autumn
Undervisningsspråk
English
Antall semestre
1
Vurderingssemester
Autumn
Timeplan
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.
Forkunnskapskrav
Ingen
Anbefalte forkunnskaper
Basic knowledge of Algebraic Geometry.
Exam
| Form of assessment | Weight | Duration | Marks | Aid | Exam system | Withdrawal deadline | Exam date |
|---|---|---|---|---|---|---|---|
| Oral exam | 1/1 | Passed / Not Passed | None permitted | — | — | — |
Fagperson(er)
Head of Department:
Bjørn Henrik AuestadCourse coordinator:
Martin Gunnar GulbrandsenMethod of work
5 hours lectures and exercise sessions each week. In case of few students, the course may be organized as a supervised reading course.
Åpent for
PhD-program in information technology, mathematics and physics
Emneevaluering
According to general guidelines.
Litteratur
E. Sernesi: "Deformations of algebraic schemes". Springer-Verlag, ISBN 3540306080.
The course description is retrieved from FS (Felles studentsystem). Version 1