Universität Wien

250141 SE Seminar (Alternating Sign Matrices) (2017W)

4.00 ECTS (2.00 SWS), SPL 25 - Mathematik
Continuous assessment of course work

Details

Language: English

Lecturers

Classes (iCal) - next class is marked with N

  • Wednesday 04.10. 11:00 - 12:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 11.10. 11:00 - 12:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 18.10. 11:00 - 12:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 25.10. 11:00 - 12:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 08.11. 11:00 - 12:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 15.11. 11:00 - 12:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 22.11. 11:00 - 12:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 29.11. 11:00 - 12:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 06.12. 11:00 - 12:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 13.12. 11:00 - 12:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 10.01. 11:00 - 12:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 17.01. 11:00 - 12:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 24.01. 11:00 - 12:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 31.01. 11:00 - 12:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

The seminar is centered around alternating sign matrices (ASMs), which are very exciting combinatorial objects of current interest. ASMs as well as subclasses of ASMs are often enumerated by very simple product formulas, but proving these formulas is usually very hard (the first proof is 84 pages long) and still highly computational. They are seemingly linked to other objects such as plane partitions, but this connection is not really understood. One approach to study ASMs is originated in statistical physics as they are equivalent to an exactly solvable model (six-vertex model), which can in turn be dealt with the famous Yang-Baxter equation.

Assessment and permitted materials

student talks

Minimum requirements and assessment criteria

Examination topics

Reading list

D.P. Robbins, The Story of 1, 2, 7, 42, 429, 7436, …, The Mathematical Intelligencer 1991

D. Bressoud, Proofs and Confirmations: The story of the alternating sign matrix conjecture

Association in the course directory

MALS

Last modified: Mo 07.09.2020 15:40