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Topological methods in Combinatorics
Provider: Faculty of Science

Activity no.: 7009-22-07-31 
Enrollment deadline: 07/02/2022
PlaceDepartment of Mathematical Sciences
Universitetsparken 5, 2100 København Ø
Date and time07.02.2022, at: 08:00 - 08.04.2022, at: 16:00
Regular seats50
ECTS credits7.50
Contact personNina Weisse    E-mail address: weisse@math.ku.dk
Enrolment Handling/Course OrganiserPatrick Schnider    E-mail address: ps@math.ku.dk
Written languageEnglish
Teaching languageEnglish
Semester/BlockBlock 3
Scheme groupC
Scheme group noteLectures, Monday at 14-17, Wednesday at 14-16. Wednesday exercises at 9-12. Room 04.4.01, fourth floor in MATH building
Exam formOral examination
Exam form30 minutes preparation, 30 minutes oral examination including grade determination
Exam details50% Homeworks, 50% Oral examination
Grading scalePassed / Not passed
Course workload
Course workload categoryHours
Lectures35.00
Theoretical exercises21.00
Preparation / Self-Study149.00
Exam1.00
Sum206.00
Content
The course introduces several applications of topological methods to problems in combinatorics and geometry, such as the Ham Sandwich theorem, Lovazs’s proof of the Kneser conjecture and the topological Tverberg problem. The course will be taught by Karim Adiprasito, Sergey Avvakumov and Patrick Schnider.

Learning outcome
Knowledge:
at the end of the course, the student should know the most important results and techniques that are used in topological combinatorics.

Skills:
at the end of the course, the student should be able to reproduce arguments at a high abstract level corresponding to the contents of the course.

Competencies:
at the end of the course, the student should be able to apply the learned techniques to new problems.

Literature
Using the Borsuk-Ulam Theorem by J. Matousek

Teaching and learning methods
5 hours of lectures and 3 hours of exercises per week for 7 weeks.

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