Buondì,
Segnalo un seminario di geometria per mercoledì prossimo.
A presto,
Bruno
04-May-2022 - 16:00
Sala Seminari (Dip. Matematica)
Simplicial volume and aspherical manifolds
Marco Moraschini
Simplicial volume is a homotopy invariant for compact manifolds introduced
by Gromov in the early 80s. It measures the complexity of a manifold in
terms of singular simplices. Since simplicial volume behaves similarly to
the Euler characteristic, a natural problem is to understand the relation
between these two invariants. More precisely, a celebrated question by
Gromov (~’90) asks whether all oriented closed connected aspherical
manifolds with zero simplicial volume also have vanishing Euler
characteristic.
In this talk, we will describe the problem and we will show counterexamples
to some variations of the previous question. Moreover, we will describe
some new strategies to approach the problem as well as the relation between
Gromov’s question and other classical problems in topology.
This is part of a joint work with Clara Löh and George Raptis.