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November 30, 2015 By GeometryAdmin

Michael Khanevsky to speak in the geometry seminar 1/12/2015

Our very own Michael Khanevsky will speak in the geometry seminar on 1st December, at 2pm, in the Salle de Profs (9th floor of building NO). Michael’s title is Hofer’s metric and length spectrum of symplectic surfaces. His abstract follows.

In Riemannian geometry the length spectrum is a rich source of invariants of the manifold. In symplectic setting there is no notion of length, hence no possibility to define the usual length spectrum. However one can use Hofer’s metric to define a family of invariants with similar behavior. Pick a ball of a chosen area and translate it by a Hamiltonian isotopy along a given homotopy (or homology) class. The minimal Hofer energy required for such translation can be seen as a substitute for the Riemannian length spectrum. We will discuss estimates for this energy in two-dimensional case.

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Address

Département de mathématiques
Université libre de Bruxelles CP 218
Boulevard du Triomphe, Bruxelles 1050,
Belgium

Getting here

The department of mathematics is in building NO, on the Campus de la Plaine, of the Université libre de Bruxelles. The geometry group is on the 7th floor. This page has a map of the campus as well as information on how to reach it via public transport. See the STIB website for more information on public transport in Brussels.

Image credits

Polished ammonite fossil, by Kara Stenberg, Creative Commons licence CC BY-NC 2.0.

Model of 3D projection of a 120-cell, by Edmund Harriss.

The root system of the exceptional Lie algebra E8. By Jared Tarbell, Creative Commons Licence CC BY 2.0.

Getting here

The department of mathematics is in building NO, on the Campus de la Plaine, of the Université libre de Bruxelles. The geometry group is on the 7th floor. This map shows NO, as well as the metro station Delta and entrance 2, which is right by the stop for the number 71 and 72 buses. The number 95 also stops a short walk from the department. See the STIB website for more information on public transport in Brussels.

Image credits

Polished ammonite fossil, by Kara Stenberg, Creative Commons licence CC BY-NC 2.0.

Model of 3D projection of a 120-cell, by Edmund Harriss.

The root system of the exceptional Lie algebra E8. By Jared Tarbell, Creative Commons Licence CC BY 2.0.

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