Admission Requirements
The course Inleiding in de Algebraïsche Topologie is required.
Description
This course is a sequel to the BSc course Inleiding in de Algebraische Topologie (IAT). The course will include a gentle introduction into homological algebra and the language of categories and functors. We introduce sheaves and their cohomology, discuss comparison theorems between singular, sheaf and Cech cohomology, and finish with some applications.
Course Objectives
The aim is to become acquainted with a number of important results and techniques in algebraic topology. After completing the course, the student will know how to apply these results and techniques in various situations in geometry.
Timetable
In MyTimetable, you can find all course and programme schedules, allowing you to create your personal timetable. Activities for which you have enrolled via MyStudyMap will automatically appear in your timetable.
Additionally, you can easily link MyTimetable to a calendar app on your phone, and schedule changes will be automatically updated in your calendar. You can also choose to receive email notifications about schedule changes. You can enable notifications in Settings after logging in.
Questions? Watch the video, read the instructions, or contact the ISSC helpdesk.
Note: Joint Degree students from Leiden/Delft need to combine information from both the Leiden and Delft MyTimetables to see a complete schedule. This video explains how to do it.
Mode of Instruction
Weekly lectures. Homework on a regular basis.
Assessment method
The final grade is based on homework (25%) and a final exam or retake (75%). The final exam is written or oral depending on the number of students. In order to pass the course the grade for the final exam or retake needs to be at least 5, and the weighted average of homework and final exam or retake needs to be at least 5.5. No mimimum grade for the homework is required in order to be allowed for the exam or in order to pass the course. The homework counts as a practical and there is no retake for it. In the event of a retake, the homework again counts for 25% for the final grade.
Reading list
We work from a syllabus that will be made available before the course starts. In addition to the syllabus, it is recommended to get hold of the following books:
W. Fulton, "Algebraic Topology, A first course", Springer Graduate Texts in Mathematics 153,
A. Hatcher, "Algebraic Topology", Cambridge University Press.
Registration
As a student, you are responsible for enrolling on time through MyStudyMap.
In this short video, you can see step-by-step how to enrol for courses in MyStudyMap.
Extensive information about the operation of MyStudyMap can be found here.
There are two enrolment periods per year:
Enrolment for the fall opens in July
Enrolment for the spring opens in December
See this page for more information about deadlines and enrolling for courses and exams.
Note:
It is mandatory to enrol for all activities of a course that you are going to follow.
Your enrolment is only complete when you submit your course planning in the ‘Ready for enrolment’ tab by clicking ‘Send’.
Not being enrolled for an exam/resit means that you are not allowed to participate in the exam/resit.
Contact
By e-mail: rdejong@math.leidenuniv.nl
By phone: +31 (0) 71 5 27 48 29
Remarks
Software
Starting from the 2024/2025 academic year, the Faculty of Science will use the software distribution platform Academic Software. Through this platform, you can access the software needed for specific courses in your studies. For some software, your laptop must meet certain system requirements, which will be specified with the software. It is important to install the software before the start of the course. More information about the laptop requirements can be found on the student website.