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MAT910_1

Topics in Algebraic Geometry

This is the study programme for 2019/2020. It is subject to change.


Course is aimed at PhD students in mathematics and/or theoretical physics and /or mathematical physics.

Learning outcome

After this course, the student should have fundamental knowledge of deformation theory and moduli theory in Algebraic Geometry.

Contents

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.

Required prerequisite knowledge

None.

Recommended previous knowledge

Basic knowledge of Algebraic Geometry.

Exam

Weight Duration Marks Aid
Oral exam1/1 Pass - FailNone 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 supervised reading course.

Open to

PhD-program in mathematics and physics

Course assessment

According to general guidelines.

Literature

E. Sernesi: "Deformations of algebraic schemes". Springer-Verlag, ISBN 3540306080.


This is the study programme for 2019/2020. It is subject to change.

Sist oppdatert: 13.11.2019

History