Questo sito utilizza solo cookie tecnici per il corretto funzionamento delle pagine web e per il miglioramento dei servizi.
Se vuoi saperne di più o negare il consenso consulta l'informativa sulla privacy.
Proseguendo la navigazione del sito acconsenti all'uso dei cookie.
Se vuoi saperne di più o negare il consenso consulta l'informativa sulla privacy.
Proseguendo la navigazione del sito acconsenti all'uso dei cookie.
Seminario del 2022
2022
18 marzo
Leonardo Ferrari (Université de Neuchâtel)
nell'ambito della serie: TOPOLOGIA E GEOMETRIA DELLE VARIETÀ
Seminario di algebra e geometria
Manifold covers of right-angled polytopes were first
introduced by Davis and Januszkiewicz in 1991 as a simple,
combinatorial method to build manifolds by gluing copies of a right-
angled polytope along its facets. Since then a number of techniques
have been added to their initial work, allowing for a better understanding
of the geometry and topology of such manifolds, and many important,
recent examples of hyperbolic 3-, 4- and 5-manifolds have arisen from
this setting.
In this seminar, I will introduce the notion of right-angled
polytopes, present the basic construction of manifold covers and give an
overview of some additional tools developed in recent years, as well as
combinatorial and topological obstructions to the techniques. I will
conclude the seminar with the construction of the first example of a
hyperbolic, arithmetic, rational homology 3-sphere that bounds
geometrically.
Obs: no previous knowledge of hyperbolic or arithmetic geometry is
required to follow this seminar, but some familiarity with base notions of
algebraic topology is advised.