Seminario di Geometria

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Seminario di Geometria
Giovedì 2 Maggio 2024 alle ore 14:15, Francesco Veneziano (Genova) terrà il seminario di Geometria dal titolo "Rational angles in plane lattices".

Abstract: Generalising classical questions about regular polygons with vertices on a plane lattice, we are interested in pairs of points $A,B$ on a lattice such 
that the angle $\hat{AOB}$ is a rational multiple of $\pi$. This problem leads to diophantine-trigonometric equations that in turn involve the study of rational points on curves of genus 0,1,2,3,5. I will present the full classification of plane lattices according to how many independent rational angles they contain and in which configurations they appear. This is a joint work with R. Dvornicich, D. Lombardo and U. Zannier 

Il seminario si svolgerà  in presenza nell'aula M1. Per ulteriori informazioni, si può contattare gli organizzatori all'email amos.turchet@uniroma3.it.