Seminario di algebra e geometria del DMG

Data evento: 
Da  20/11/202020/11/2020

Venerdì 20 novembre 2020, alle ore 10,30, Matteo Gallet (SISSA, Trieste) terrà un seminario dal titolo:
"Zero-sum cycles in flexible polyhedra"

Abstract: We show that if a polyhedron in the three-dimensional affine space with triangular faces is flexible, i.e., can be continuously deformed preserving the shape of its faces, then there is a cycle of edges whose lengths sum up to zero once suitably weighted by 1 and -1. We do this via elementary combinatorial considerations, made possible by a well-known compactification of the three-dimensional affine space as a quadric in the four-dimensional projective space. The compactification is related to the Euclidean metric, and allows us to use a simple degeneration technique that reduces the problem to its one-dimensional analogue, which is trivial to solve. This is a joint work with G. Grasegger, J. Legerský, and J. Schicho.

I seminari si terranno online, sulla piattaforma Zoom.

https://us02web.zoom.us/j/87558542429?pwd=TUVUYUJDcG1VSE11a2V4ZDh5anJPQT09

Per ulteriori informazioni: fgaluppi@units.it