NSCPHD1071 Arithmetic Algebraic Geometry II
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.
Skills: Base-change in sheaf cohomology.
Knowledge: Topoi, recollement, and descent.
Competences: Ability to use arithmetic geometry literature.
- Category
- Hours
- Exercises
- 24
- Lectures
- 24
- Preparation
- 158
- Total
- 206
Pleae register at: lhesselholt@gmail.com
- Credit
- 7,5 ECTS
- Type of assessment
- Continuous assessmentTo 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.
Course information
- Language
- English
- Course code
- NSCPHD1071
- Credit
- 7,5 ECTS
- Level
- Ph.D.
- Duration
- 1 block
- Placement
- Block 4
- Schedule
- B (Mon 8-12 + Tues 13-17 + Fri 8-12)
- Course capacity
- No Limit
- Continuing and further education
- Study board
- Natural Sciences PhD Committee
Contracting department
- Department of Mathematical Sciences
Course responsibles
- Lars Hesselholt (5-6e6374756a426f63766a306d7730666d)
Lecturers
Kristian Moi