dc.contributor.author | POSTNIKOV, ALEXANDER | |
dc.date.accessioned | 2021-11-01T18:50:23Z | |
dc.date.available | 2021-11-01T18:50:23Z | |
dc.date.issued | 2019-05 | |
dc.identifier.uri | https://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.iso | en | |
dc.publisher | WORLD SCIENTIFIC | en_US |
dc.relation.isversionof | 10.1142/9789813272880_0177 | en_US |
dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | en_US |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | en_US |
dc.source | arXiv | en_US |
dc.title | POSITIVE GRASSMANNIAN AND POLYHEDRAL SUBDIVISIONS | en_US |
dc.type | Article | en_US |
dc.identifier.citation | POSTNIKOV, ALEXANDER. 2019. "POSITIVE GRASSMANNIAN AND POLYHEDRAL SUBDIVISIONS." Proceedings of the International Congress of Mathematicians, ICM 2018, 4. | |
dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
dc.relation.journal | Proceedings of the International Congress of Mathematicians, ICM 2018 | en_US |
dc.eprint.version | Original manuscript | en_US |
dc.type.uri | http://purl.org/eprint/type/ConferencePaper | en_US |
eprint.status | http://purl.org/eprint/status/NonPeerReviewed | en_US |
dc.date.updated | 2021-05-26T11:55:33Z | |
dspace.orderedauthors | POSTNIKOV, A | en_US |
dspace.date.submission | 2021-05-26T11:55:35Z | |
mit.journal.volume | 4 | en_US |
mit.license | OPEN_ACCESS_POLICY | |
mit.metadata.status | Authority Work and Publication Information Needed | en_US |