X-Student Research Group : Combinatorial solutions to discrete integrable systems (LV / Projektkurs)

Combinatorial solutions to discrete integrable systems

A project-course (as part of the X-Student Research Groups) at the Institute of Mathematics, Technische Universität Berlin

Description:

We consider rational recurrence equations on the square grid Z². A particular class of such equations is called 'discrete integrable'. These equations were originally discovered in physics and geometry. In recent developments, the iteration of some of these equations on A³ and Z³ was solved explicitly. Surprisingly, the solutions consist of weighted counting of combinatorial objects (e.g. spanning trees) on certain graphs. In this research seminar we consider as-of-yet unsolved equations on Z². The goal is to find combinatorial solutions for these equations. We offer the opportunity to do real and relevant math research that uses tools from several math communities. Confidence in manipulating mathematical formulas is required, nothing more. The course is open for all students of mathematics and mathematically interested students of other disciplines, especially physics.

Teachers: Niklas Affolter (contact: affolter@tu-berlin.de)

Dates: Thursdays 14:15-15:45 (weekly) from October 20th, 2022 until February 16th, 2023

Room of the Group: The first meeting is in the H-Café, MA845 at TU Berlin, Location thereafter is to be announced.

More information on the project: https://page.math.tu-berlin.de/~affolter/xresearch/index.html

Information on how to particpate in an X-Student Research Group in winter 2022/2023 semester you can find via the link below:

https://www.berlin-university-alliance.de/en/commitments/teaching-learning/sturop/research-groups/participate/index.html

Note on registration: You are studying at Charité – Universitätsmedizin Berlin, Freie Universität Berlin or Humboldt-Universität zu Berlin and have received confirmation of participation by the teachers or tutors? Then please register until October 30th as BUA Student at the TU Berlin. For students of the Technische Universität Berlin, no further steps are required after receiving a place confirmation.

To register as BUA Student please send the following documents to bua@pruefungen.tu-berlin.de by October 30th:

the completed and signed application for participation in BUA modules

"To find via the following link: https://www.tu.berlin/fileadmin/www/10002461/BUA-Antrag_Eng/BUA_application.pdf ." (module title: "X-Student Research Group: project title")

as well as the current enrollment certificate of your main university.