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dc.contributor.authorPOSTNIKOV, ALEXANDER
dc.date.accessioned2021-11-01T18:50:23Z
dc.date.available2021-11-01T18:50:23Z
dc.date.issued2019-05
dc.identifier.urihttps://hdl.handle.net/1721.1/137044
dc.description.abstract© ICM 2018.All rights reserved. The nonnegative Grassmannian is a cell complex with rich geometric, algebraic, and combinatorial structures. Its study involves interesting combinatorial objects, such as positroids and plabic graphs. Remarkably, the same combinatorial structures appeared in many other areas of mathematics and physics, e.g., in the study of cluster algebras, scattering amplitudes, and solitons. We discuss new ways to think about these structures. In particular, we identify plabic graphs and more general Grassmannian graphs with polyhedral subdivisions induced by 2-dimensional projections of hypersimplices. This implies a close relationship between the positive Grassmannian and the theory of fiber polytopes and the generalized Baues problem. This suggests natural extensions of objects related to the positive Grassmannian.en_US
dc.language.isoen
dc.publisherWORLD SCIENTIFICen_US
dc.relation.isversionof10.1142/9789813272880_0177en_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alikeen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/en_US
dc.sourcearXiven_US
dc.titlePOSITIVE GRASSMANNIAN AND POLYHEDRAL SUBDIVISIONSen_US
dc.typeArticleen_US
dc.identifier.citationPOSTNIKOV, ALEXANDER. 2019. "POSITIVE GRASSMANNIAN AND POLYHEDRAL SUBDIVISIONS." Proceedings of the International Congress of Mathematicians, ICM 2018, 4.
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematics
dc.relation.journalProceedings of the International Congress of Mathematicians, ICM 2018en_US
dc.eprint.versionOriginal manuscripten_US
dc.type.urihttp://purl.org/eprint/type/ConferencePaperen_US
eprint.statushttp://purl.org/eprint/status/NonPeerRevieweden_US
dc.date.updated2021-05-26T11:55:33Z
dspace.orderedauthorsPOSTNIKOV, Aen_US
dspace.date.submission2021-05-26T11:55:35Z
mit.journal.volume4en_US
mit.licenseOPEN_ACCESS_POLICY
mit.metadata.statusAuthority Work and Publication Information Neededen_US


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