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Matrix Factorizations in Algebra, Geometry, and Physics

dc.date.accessioned2019-10-24T14:45:38Z
dc.date.available2019-10-24T14:45:38Z
dc.date.issued2013
dc.identifier.urihttp://publications.mfo.de/handle/mfo/3375
dc.description.abstractLet $W$ be a polynomial or power series in several variables, or, more generally, a nonzero element in some regular commutative ring. A matrix factorization of $W$ consists of a pair of square matrices $X$ and $Y$ of the same size, with entries in the given ring, such that the matrix product $XY$ is $W$ multiplied by the identity matrix. For example, if $X$ is a matrix whose determinant is $W$ and $Y$ is its adjoint matrix, then $(X, Y)$ is a matrix factorization of $W$. Such matrix factorizations are nowadays ubiquitous in several different fields in physics and mathematics, including String Theory, Commutative Algebra, Algebraic Geometry, both in its classical and its noncommutative version, Singularity Theory, Representation Theory, Topology, there in particular in Knot Theory. The workshop has brought together leading researchers and young colleagues from the various input fields; it was the first workshop on this topic in Oberwolfach. For some leading researchers from neighboring fields, this was their first visit to Oberwolfach.
dc.titleMatrix Factorizations in Algebra, Geometry, and Physics
dc.identifier.doi10.14760/OWR-2013-44
local.series.idOWR-2013-44
local.subject.msc81
local.subject.msc16
local.subject.msc14
local.subject.msc13
local.subject.msc18
local.sortindex815
local.date-range01 Sep - 07 Sep 2013
local.workshopcode1336
local.workshoptitleMatrix Factorizations in Algebra, Geometry, and Physics
local.organizersRagnar-Olaf Buchweitz, Toronto; Kentaro Hori, Kashiwa; Henning Krause, Bielefeld; Christoph Schweigert, Hamburg
local.report-nameWorkshop Report 2013,44
local.opc-photo-id1336
local.publishers-doi10.4171/OWR/2013/44
local.ems-referenceBuchweitz Ragnar-Olaf, Hori Kentaro, Krause Henning, Schweigert Christoph: Matrix Factorizations in Algebra, Geometry, and Physics. Oberwolfach Rep. 10 (2013), 2501-2552. doi: 10.4171/OWR/2013/44


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