Triple crossing diagram maps and discrete integrable systems

par Sanjay Ramassamy (CEA)

vendredi 6 mars 2026, 14:45 → 15:45 Europe/Paris

Fokko du Cloux (Bat. Braconnier)

I will introduce triple crossing diagram maps as a geometric framework encompassing many constructions in discrete differential geometry and geometric dynamics. It arises as decorations of planar bipartite graphs with some geometric data. The dynamics is powered by cluster algebra mutations. Using a connection with the bipartite dimer integrable system, I will show that it provides a unified framework to prove the integrability of many geometric systems.

This talk is based on joint works with Niklas Affolter (TU Vienna), Terrence George (MIT), Max Glick (Google) and Pavlo Pylyavskyy (University of Minnesota).