Computational geometric and algebraic topology. Abstracts from the workshop held October 11--17, 2015
type: Item
instance of: scholarly article
title: Computational geometric and algebraic topology. Abstracts from the workshop held October 11--17, 2015
zbMATH Open document ID: 1380.00045
DOI: 10.4171/OWR/2015/45
published in: Oberwolfach Reports
publication date: 2018-02-21T00:00:00Z
review text: Summary: Computational topology is a young, emerging field of mathematics that seeks out practical algorithmic methods for solving complex and fundamental problems in geometry and topology. It draws on a wide variety of techniques from across pure mathematics (including topology, differential geometry, combinatorics, algebra, and discrete geometry), as well as applied mathematics and theoretical computer science. In turn, solutions to these problems have a wide-ranging impact: already they have enabled significant progress in the core area of geometric topology, introduced new methods in applied mathematics, and yielded new insights into the role that topology has to play in fundamental problems surrounding computational complexity. At least three significant branches have emerged in computational topology: \textit{algorithmic 3-manifold and knot theory, persistent homology and surfaces and graph embeddings}. These branches have emerged largely independently. However, it is clear that they have much to offer each other. The goal of this workshop was to be the \textit{first significant step to bring these three areas together}, to share ideas in depth, and to pool our expertise in approaching some of the major open problems in the field.
Mathematics Subject Classification ID: 00B05
Mathematics Subject Classification ID: 00B25
Mathematics Subject Classification ID: 05C10
Mathematics Subject Classification ID: 55-04
Mathematics Subject Classification ID: 57-04
Mathematics Subject Classification ID: 57M15
Mathematics Subject Classification ID: 57N10
Mathematics Subject Classification ID: 57N65
Mathematics Subject Classification ID: 55M25
Mathematics Subject Classification ID: 55U10
Mathematics Subject Classification ID: 68W05
Mathematics Subject Classification ID: 68U05
Mathematics Subject Classification ID: 55-06
Mathematics Subject Classification ID: 57-06
Mathematics Subject Classification ID: 05-06
Mathematics Subject Classification ID: 68-06
zbMATH DE Number: 6841523
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 6841523