Universität Wien

250073 VU Topics in Combinatorics (2022S)

6.00 ECTS (3.00 SWS), SPL 25 - Mathematik
Continuous assessment of course work

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).

Details

max. 25 participants
Language: English

Lecturers

Classes (iCal) - next class is marked with N

The Art of Bijections

(Non-trivial) bijections are one of the most beautiful things in
combinatorics, which can be extremely powerful and insightful.
In the best case, they provide one-picture proofs of surprising
identities and relations between seemingly totally different
objects.

In this course, I shall explain various classical and not-so-classical
bijections for paths, trees, combinatorial maps, set and integer partitions, tilings, tableaux, etc., culminating in the "queen of all bijections", the Robinson-Schensted-Knuth correspondence and its "relatives".

While explaining an individual bijection, I will use the opportunity to
tell more about the respective subject.

Nothing except basic combinatorial facts (generating functions) are required.

Open problems are plenty (but probably very difficult).

  • Friday 04.03. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 07.03. 16:45 - 17:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 14.03. 16:45 - 17:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 18.03. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 21.03. 16:45 - 17:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 25.03. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 28.03. 16:45 - 17:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 01.04. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 04.04. 16:45 - 17:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 08.04. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 25.04. 16:45 - 17:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 29.04. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 02.05. 16:45 - 17:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 06.05. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 09.05. 16:45 - 17:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 13.05. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 16.05. 16:45 - 17:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 20.05. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 23.05. 16:45 - 17:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 27.05. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 30.05. 16:45 - 17:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 03.06. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 10.06. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 13.06. 16:45 - 17:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 17.06. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 20.06. 16:45 - 17:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 24.06. 09:45 - 11:15 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 27.06. 16:45 - 17:30 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

The Art of Bijections

(Non-trivial) bijections are one of the most beautiful things in
combinatorics, which can be extremely powerful and insightful.
In the best case, they provide one-picture proofs of surprising
identities and relations between seemingly totally different
objects.

In this course, I shall explain various classical and not-so-classical
bijections for paths, trees, combinatorial maps, set and integer partitions, tilings, tableaux, etc., culminating in the "queen of all bijections", the Robinson-Schensted-Knuth correspondence and its "relatives".

While explaining an individual bijection, I will use the opportunity to
tell more about the respective subject.

Nothing except basic combinatorial facts (generating functions) are required.

Open problems are plenty (but probably very difficult).

Assessment and permitted materials

The grade will be based on participation in the solution
of exercises and an oral exam at the end of the course.

Minimum requirements and assessment criteria

Examination topics

Reading list

Association in the course directory

MALV

Last modified: Th 03.03.2022 16:09