Hamiltonian Systems

Event Information Incidences and tilings
12:00 on Wednesday September 20, 2023
13:30 on Wednesday September 20, 2023
Virtual
Sergey Fomin

University of Michigan

We show that various classical theorems of real/complex linear incidence geometry, such as the theorems of Pappus, Desargues, Möbius, and so on, can be interpreted as special cases of a single "master theorem" that involves an arbitrary tiling of a closed oriented surface by quadrilateral tiles. This yields a general mechanism for producing new incidence theorems and generalizing the known ones.

This is joint work with Pavlo Pylyavskyy.

The talk will be via Zoom at: https://utoronto.zoom.us/j/99576627828

Passcode: 448487

https://arxiv.org/abs/2305.07728