NSCPHD1071 Arithmetic Algebraic Geometry II

Volume 2014/2015
Content

The purpose of the course is to give an introduction to the theory of sheaves and sheaf cohomology with a focus on applications in arithmetic geometry. Some background knowledge of schemes will be assumed. The canonical reference for this material is part 4 of the Grothendieck school's Séminare de Géométrie Algébrique (SGA). It is the intention that, at the end of the course, participants should have an understanding of Grothendieck's relative point of view on cohomology; base-change theorems and their usage; and, if time permits, recollement and descente.

Learning Outcome

Skills: Base-change in sheaf cohomology.

Knowledge: Topoi, recollement, and descent.

Competences: Ability to use arithmetic geometry literature.

Some knowledge af algebraic geometry
Lectures: Three times 45 minutes per week for 8 weeks. Exercise classes: Three times 45 minutes per week for 8 weeks.
  • Category
  • Hours
  • Exercises
  • 24
  • Lectures
  • 24
  • Preparation
  • 158
  • Total
  • 206
Credit
7,5 ECTS
Type of assessment
Continuous assessment
To pass the course the student must take an active part in the exercise classe
Marking scale
passed/not passed
Censorship form
No external censorship
One internal examiner
Re-exam
30 minutes oral exam without preparation time and without aids.
Criteria for exam assesment

 

The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.