Oberwolfach Reports

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Volume 7, Issue 2, 2010, pp. 1225–1318
DOI: 10.4171/OWR/2010/21

Published online: 2010-12-14

Progress in Surface Theory

Uwe Abresch[1], Josef Dorfmeister[2] and Masaaki Umehara[3]

(1) Ruhr-Universität Bochum, Germany
(2) TU M√ľnchen, Germany
(3) Tokyo Institute of Technology, Japan

The theory of surfaces is interpreted these days as a prototype of submanifold geometry and is characterized by the substantial application of PDE methods and methods from the theory of integrable systems, in addition to the more classical techniques from real and/or complex analysis. In addition, surfaces with singularities are studied intensively. In this workshop we brought together all the main strands of modern surface theory.

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Abresch Uwe, Dorfmeister Josef, Umehara Masaaki: Progress in Surface Theory. Oberwolfach Rep. 7 (2010), 1225-1318. doi: 10.4171/OWR/2010/21