Moduli spaces of sheaves on surfaces: Hecke correspondences and representation theory
© Springer Nature Switzerland AG 2019. In modern terms, enumerative geometry is the study of moduli spaces: instead of counting various geometric objects, one describes the set of such objects, which if lucky enough to enjoy good geometric properties is called a moduli space. For example, the moduli...
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| Format: | Book chapter |
| Language: | English |
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Springer International Publishing
2021
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| Online Access: | https://hdl.handle.net/1721.1/137152 |
| _version_ | 1826212453967462400 |
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| author | Neguţ, A |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Neguţ, A |
| author_sort | Neguţ, A |
| collection | MIT |
| description | © Springer Nature Switzerland AG 2019. In modern terms, enumerative geometry is the study of moduli spaces: instead of counting various geometric objects, one describes the set of such objects, which if lucky enough to enjoy good geometric properties is called a moduli space. For example, the moduli space of linear subspaces of 𝔸n is the Grassmannian variety, which is a classical object in representation theory. Its cohomology and intersection theory (as well as those of its more complicated cousins, the flag varieties) have long been studied in connection with the Lie algebras 𝔰 𝔩 n. |
| first_indexed | 2024-09-23T15:21:38Z |
| format | Book chapter |
| id | mit-1721.1/137152 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T15:21:38Z |
| publishDate | 2021 |
| publisher | Springer International Publishing |
| record_format | dspace |
| spelling | mit-1721.1/1371522023-01-27T21:33:40Z Moduli spaces of sheaves on surfaces: Hecke correspondences and representation theory Neguţ, A Massachusetts Institute of Technology. Department of Mathematics © Springer Nature Switzerland AG 2019. In modern terms, enumerative geometry is the study of moduli spaces: instead of counting various geometric objects, one describes the set of such objects, which if lucky enough to enjoy good geometric properties is called a moduli space. For example, the moduli space of linear subspaces of 𝔸n is the Grassmannian variety, which is a classical object in representation theory. Its cohomology and intersection theory (as well as those of its more complicated cousins, the flag varieties) have long been studied in connection with the Lie algebras 𝔰 𝔩 n. 2021-11-02T18:12:18Z 2021-11-02T18:12:18Z 2019 2021-05-25T13:57:56Z Book chapter http://purl.org/eprint/type/BookItem https://hdl.handle.net/1721.1/137152 Neguţ, A. 2019. "Moduli spaces of sheaves on surfaces: Hecke correspondences and representation theory." 2248. en 10.1007/978-3-030-26856-5_2 Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Springer International Publishing Other repository |
| spellingShingle | Neguţ, A Moduli spaces of sheaves on surfaces: Hecke correspondences and representation theory |
| title | Moduli spaces of sheaves on surfaces: Hecke correspondences and representation theory |
| title_full | Moduli spaces of sheaves on surfaces: Hecke correspondences and representation theory |
| title_fullStr | Moduli spaces of sheaves on surfaces: Hecke correspondences and representation theory |
| title_full_unstemmed | Moduli spaces of sheaves on surfaces: Hecke correspondences and representation theory |
| title_short | Moduli spaces of sheaves on surfaces: Hecke correspondences and representation theory |
| title_sort | moduli spaces of sheaves on surfaces hecke correspondences and representation theory |
| url | https://hdl.handle.net/1721.1/137152 |
| work_keys_str_mv | AT neguta modulispacesofsheavesonsurfacesheckecorrespondencesandrepresentationtheory |