| 22 Jan 2007 |
|---|
| The lecture today, Monday, January 22. finished the course. |
| 24 Nov 2006 |
| New time, new room on Mondays: Auditorium 5 at 9.15--11.00. |
| 23 Nov 2006 |
| New class room on Mondays: Auditorium 10 (Same time: 15.15--17.00). |
Plan:
| Session | Dates | Headlines | Material | Home work |
| 1, 2 | Nov 13, 16 | Complexes | hot1.pdf expl01.pdf | Hot(1.9), (1.13) |
| 3, 4 | Nov 20, 23 | Homotopy, Triangulation | hot2.pdf, cat5.pdf expl02-06.pdf | |
| 5, 6 | Nov 27, 30 | Bicomplexes, Derived functors 1 | hot3.pdf, der1.pdf | |
| 7, 8 | Dec 4, 7 | Derived functors 1, Limits 1 | lim1.pdf | |
| 9, 10 | Dec 11, 14 | Limits | expl07-15.pdf | |
| 11, 12 | Dec 18, Jan 4 | Limits, localization | lim2.pdf lim3.pdf lim4.pdf | |
| 13, 14 | Jan 8, 11 | Localization, derived functors | lim5.pdf lim6.pdf expl16-20.pdf | |
| 15, 16 | Jan 15, 18 | The derived category | ||
| 17 | Jan 22 | The derived functor | der4.pdf |
Teachers:
Anders Frankild
and Anders Thorup.
Course material:
You may get an idea of the type of notes by looking at a
DRAFT.
Do not print the notes; they will be changed several times before
printing is relevant.
Schedule:
Monday 15:15--17:00 Aud 10 (HCØ)
Thursday 10:15--12:00 RF (NBI) and 13:15--17:00 Aud 09 (HCØ).
SIS information:
Course title: Triangulated Categories and Derived Functors
(Triang)
ECTS-points: 7,5
Placement in block structure: 2 nd. block
Schemagroup: A
Teaching period: November 13th 2006 -- January 26th 2007
Teaching method: Lectures and single and/or group activities with
consulting in 9 weeks.
CompetenceDescription: After completing the course, the student should
be able to analyze and argue in the areas of the course at the highest
research level.
Course description: The course develops at a research
level the theory of triangulated categories with applications to
derived functors in algebra, algebraic geometry, and algebraic
topology.
List of contents:
Categories
Limits
The homotopy categories of complexes
Derivable functors
Simplicial cohomology
Examples and applications
Required reading: Notes from the internet.
Course registration: Registration for the course and the exam is in the
period June 1st - 10th 2006.
Recommended qualifications: Algebra 2 or
similar, and mathematical experience.
Assessment: Internal evaluation
with a grade on the 13 scale given for compulsory activities during
the course.
Reevaluation: 30 minutes oral exam.
Examination requirements: Parts of the lecture notes corresponding to
the list of contents.
Teaching language: English