Séminaire - Novembre
Le séminaire aura lieu un mercredi par mois de 14h à 15h à l'Institut Henri Poincaré à Paris. Pour télécharger l'affiche du mois: novembre.pdf.
- 09/11/2022 - Samuel Lelièvre (Université Paris-Saclay) - salle 05
Titre: Diplotori: flat polyhedral tori in three-space
Resumé:
Flat polyhedral tori, known since the late 1970s among
mathematicians studying polyhedra, have remained little
known among the larger mathematical community, including
in other fields with an interest in flat tori.
Such tori include families due to Ulrich Brehm in 1978,
to Viktor Abramovich Zalgaller in 1997, and more recently
to Patricia Tanessi Quintanar Cortés in 2019 and to
Florent Tallerie in 2021.
The earliest known family of polyhedral flat tori,
which we call diplotori, was only studied in depth
after forty years. We show it allows to realize any
flat torus --- in other words, one can fold up any
parallelogram into an isometric polyhedral embedding
of the corresponding torus in euclidean three-space.
We will include anecdotes on the history of this topic
and invite audience members to fold their own torus.
Joint work with Pierre Arnoux and Alba Málaga.