Zur Kurzanzeige

Mini-Workshop: Superpotentials in Algebra and Geometry

dc.date.accessioned2020-05-07T04:36:01Z
dc.date.available2020-05-07T04:36:01Z
dc.date.issued2020
dc.identifier.urihttp://publications.mfo.de/handle/mfo/3745
dc.description.abstractMirror symmetry has been at the epicenter of many mathematical discoveries in the past twenty years. It was discovered by physicists in the setting of super conformal field theories (SCFTs) associated to closed string theory, mathematically described by $\sigma$-models. These $\sigma$-models turn out in two different ways: the A-model and the B-model. Physical considerations predict that deformations of the SCFT of either $\sigma$-model should be isomorphic. Thus the mirror symmetry conjecture states that the A-model of a particular Calabi-Yau space $X$ must be isomorphic to the B-model of its mirror $\check{X}$. Mirror symmetry has been extended beyond the Calabi-Yau setting, in particular to Fano varieties, using the so called Landau-Ginzburg models. That is a non-compact manifold equipped with a complex valued function called the \emph{superpotential}. In general, there is no clear recipe to construct the mirror for a given variety which demonstrates the need of joining mathematical forces from a wide range. The main aim of this Mini-Workshop was to bring together experts from the different communities (such as symplectic geometry and topology, the theory of cluster varieties, Lie theory and algebraic combinatorics) and to share the state of the art on superpotentials and explore connections between different constructions.
dc.titleMini-Workshop: Superpotentials in Algebra and Geometry
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-2020-10
local.series.idOWR-2020-10
local.subject.msc14
local.subject.msc13
local.subject.msc53
local.date-range23 Feb - 29 Feb 2020
local.workshopcode2009b
local.workshoptitleMini-Workshop: Superpotentials in Algebra and Geometry
local.organizersLara Bossinger, Oaxaca; Eduardo González, Boston; Konstanze Rietsch, London; Lauren Williams, Cambridge MA
local.report-nameWorkshop Report 2020,10
local.opc-photo-id2009b
local.publishers-doi10.4171/OWR/2020/10
local.ems-referenceBossinger Lara, González Eduardo, Rietsch Konstanze, Williams Lauren: Mini-Workshop: Superpotentials in Algebra and Geometry. Oberwolfach Rep. 17 (2020), 569-600. doi: 10.4171/OWR/2020/10


Dateien zu dieser Ressource

Thumbnail
Report

Das Dokument erscheint in:

Zur Kurzanzeige