University of Cambridge > Talks.cam > Differential Geometry and Topology Seminar > The spectrum of simplicial volume

The spectrum of simplicial volume

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  • UserNicolaus Heuer, Cambridge
  • ClockWednesday 30 October 2019, 16:00-17:00
  • HouseMR13.

If you have a question about this talk, please contact Ivan Smith.

Simplicial volume was first introduced by Gromov to study the minimal volume of manifolds. Since then it has emerged as an active research field with a wide range of applications.

In dimensions two and three, the set of possible values of simplicial volume may be fully computed using geometrization, but is hardly understood in higher dimensions. In joint work with Clara Löh (University of Regensburg), we show that the set of simplicial volumes in higher dimensions is dense in the non-negative reals. I will also discuss how the exact set of simplicial volumes in dimension four or higher may look like.

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

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