Simplicial volume and aspherical manifolds

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• Marco Moraschini (Università di Bologna)
• Wednesday 19 February 2025, 16:00-17:00
• CMS, MR15.

If you have a question about this talk, please contact Oscar Randal-Williams.

Simplicial volume is a homotopy invariant for compact manifolds introduced by Gromov that measures the complexity of a manifold in terms of singular simplices. 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 will include joint works with Clara Löh and George Raptis, and with Alberto Casali.

This talk is part of the Differential Geometry and Topology Seminar series.

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