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Computational Geometric and Algebraic Topology

dc.date.accessioned2019-10-24T15:10:00Z
dc.date.available2019-10-24T15:10:00Z
dc.date.issued2015
dc.identifier.urihttp://publications.mfo.de/handle/mfo/3492
dc.description.abstractComputational 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: 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 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.
dc.titleComputational Geometric and Algebraic Topology
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWR-2015-45
local.series.idOWR-2015-45
local.subject.msc62
local.subject.msc05
local.subject.msc55
local.subject.msc68
local.subject.msc57
local.sortindex932
local.date-range11 Oct - 17 Oct 2015
local.workshopcode1542
local.workshoptitleComputational Geometric and Algebraic Topology
local.organizersBenjamin Burton, Brisbane; Herbert Edelsbrunner, Klosterneuburg; Jeff Erickson, Urbana; Stephan Tillmann, Sydney
local.report-nameWorkshop Report 2015,45
local.opc-photo-id1542
local.publishers-doi10.4171/OWR/2015/45
local.ems-referenceBurton Benjamin, Edelsbrunner Herbert, Erickson Jeff, Tillmann Stephan: Computational Geometric and Algebraic Topology. Oberwolfach Rep. 12 (2015), 2637-2699. doi: 10.4171/OWR/2015/45


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