Oberwolfach Reports

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Volume 10, Issue 2, 2013, pp. 1253–1312
DOI: 10.4171/OWR/2013/21

Published online: 2014-03-17

Progress in Surface Theory

Uwe Abresch[1], Franz Pedit[2] and Masaaki Umehara[3]

(1) Ruhr-Universität Bochum, Germany
(2) Universität Tübingen, Germany
(3) Tokyo Institute of Technology, Japan

Over the last 30 years global surface theory has become pivotal in the understanding of low dimensional global phenomena. At the same time surface geometry became a platform on which seemingly different areas of mathematics – such as geometric and topological analysis, integrable systems, algebraic geometry of curves, and mathematical physics – coalesce to produce far reaching ideas, conjectures, methods and results. The workshop hosted talks on the resolutions of famous conjectures in surface geometry, including the Willmore conjecture, and on exciting new progress in the understanding of moduli spaces of special surface classes.

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Abresch Uwe, Pedit Franz, Umehara Masaaki: Progress in Surface Theory. Oberwolfach Rep. 10 (2013), 1253-1312. doi: 10.4171/OWR/2013/21