JournalsowrVol. 10, No. 2pp. 1253–1312

Progress in Surface Theory

  • Uwe Abresch

    Ruhr-Universität Bochum, Germany
  • Franz Pedit

    Universität Tübingen, Germany
  • Masaaki Umehara

    Tokyo Institute of Technology, Japan
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Abstract

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.

Cite this article

Uwe Abresch, Franz Pedit, Masaaki Umehara, Progress in Surface Theory. Oberwolfach Rep. 10 (2013), no. 2, pp. 1253–1312

DOI 10.4171/OWR/2013/21