Progress in surface theory. Abstracts from the workshop held April 28 -- May 4, 2013.
type: Item
instance of: scholarly article
title: Progress in surface theory. Abstracts from the workshop held April 28 -- May 4, 2013.
zbMATH Open document ID: 1349.00025
DOI: 10.4171/OWR/2013/21
published in: Oberwolfach Reports
publication date: 2016-11-27T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 00B05
Mathematics Subject Classification ID: 00B25
Mathematics Subject Classification ID: 53-06
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53A05
Mathematics Subject Classification ID: 53A10
Mathematics Subject Classification ID: 14Hxx
Mathematics Subject Classification ID: 51Pxx
zbMATH DE Number: 6656884
MaRDI profile type: Publication
cites work: Noncollapsing in mean-convex mean curvature flow
cites work: Non-collapsing in fully non-linear curvature flows
cites work: Embedded constant mean curvature tori in the three-sphere
cites work: Complete minimal surfaces in \(S^ 3\)
cites work: The unknottedness of minimal embeddings
cites work: Minimal Hypersurfaces in a Riemannian Manifold of Constant Curvature
cites work: On the classification of constant mean curvature tori
cites work: Singularity profile in the mean curvature flow
full work available at URL: https://doi.org/10.4171/owr/2013/21
OpenAlex ID: W4206212611
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description: scientific article; zbMATH DE number 6656884