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Universität Augsburg
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Universität Augsburg
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Professor Peng Wang
Tongji-Universität Shanghai
spricht am
Montag, 7. April 2014
um
16:00 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| In this talk, we will report some recent progress in Willmore surfaces by loop group methods. For this purpose, we first give a description of Willmore surfaces in terms of a special kind of conformally harmonic maps into the Grassmannian Gr_{3,1}R^{1,n+4}. Then we introduce the loop group method for such harmonic maps. As applications, for Willmore two-spheres, combining DPW methods with Burstall-Guest 's treatment on harmonic two spheres, we can give a rough classification of Willmore two spheres by classifying the conformal Gauss maps of them with the normalized potentials. From this, we show that there exist many new (branched) Willmore two-spheres in S^5 and S^6 different from the known ones after Ejiri. A concrete new Willmore two sphere in S^6 is also given as an example. In the end we will show a new minimal RP^2 in S^4, which is derived by considering Willmore surfaces with symmetries. |
| Hierzu ergeht herzliche Einladung. |
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).