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Talks by Franz Pedit

Conformal Willmore flow

University of Tuebingen (Germany) and University of Massachussets, Amherst (USA)

We give a description of the space of conformally immersed surfaces of a given compact Riemann surface as a finite dimensional submanifold of the Hilbert space of half-densities. The square of the position vector of this submanifold is the Willmore energy. The tangential projection of the position vector provides a vector field on the space of conformally immersed surfaces from the given Riemann surface. As a toy example we discuss these ideas on the space of planar closed curves with the elastic energy to obtain a flow preserving winding number and whose stationary points are elastica.

Integrable systems aspects of Willmore surfaces

University of Tuebingen (Germany) and University of Massachussets, Amherst (USA)

We will explain the integrable systems structure on the space of Willmore tori arising from the Novikov-Veselov hierarchy. This structure can be used to gain a picture of the moduli space of all (constrained) Willmore tori and to compute many examples of such surfaces.

Franz Pedit

University of Tuebingen (Germany) and University of Massachussets, Amherst (USA)

Number of talks
2
Number of visits
1
Last visit
Profile in Mathscinet
[Mathscinet]
Profile in Zentralblatt
[zentralblatt]
Country of origin
Austria

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