Representations, Probability, and Beyond : A Journey into Anatoly Vershik’s World

Collection Representations, Probability, and Beyond : A Journey into Anatoly Vershik’s World

Organizer(s) Mikhail Gromov, Sergei Nechaev, Volodya Rubtsov
Date(s) 18/11/2024 - 19/11/2024
linked URL https://indico.math.cnrs.fr/event/12238/
00:00:00 / 00:00:00
9 16

Incidence Geometry and Tiled Surfaces

By Sergey Fomin

We show that various classical theorems of linear incidence geometry, such as the theorems of Pappus, Desargues, Möbius, and so on, can be interpreted as special cases of a general result that involves a triangulation of a closed oriented surface, or a tiling of such a surface by quadrilateral tiles. This yields a general mechanism for producing new incidence theorems and generalizing the known ones.

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