Exotic t-structures and actions of quantum affine algebras
We explain how quantum affine algebra actions can be used to systematically construct "exotic" t-structures. The main idea, roughly speaking, is to take advantage of the two different descriptions of quantum affine algebras, the Drinfeld--Jimbo and the Kac--Moody realizations. Our main app...
| 主要な著者: | , |
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| フォーマット: | Journal article |
| 言語: | English |
| 出版事項: |
European Mathematical Society
2020
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| _version_ | 1826263375550611456 |
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| author | Cautis, S Koppensteiner, C |
| author_facet | Cautis, S Koppensteiner, C |
| author_sort | Cautis, S |
| collection | OXFORD |
| description | We explain how quantum affine algebra actions can be used to systematically construct "exotic" t-structures. The main idea, roughly speaking, is to take advantage of the two different descriptions of quantum affine algebras, the Drinfeld--Jimbo and the Kac--Moody realizations. Our main application is to obtain exotic t-structures on certain convolution varieties defined using the Beilinson--Drinfeld and affine Grassmannians. These varieties play an important role in the geometric Langlands program, knot homology constructions, K-theoretic geometric Satake and the coherent Satake category. As a special case we also recover the exotic t-structures of Bezrukavnikov--Mirkovic on the (Grothendieck--)Springer resolution in type A. |
| first_indexed | 2024-03-06T19:50:46Z |
| format | Journal article |
| id | oxford-uuid:23e80cf2-9b03-4789-b352-8feb6041bb8d |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:50:46Z |
| publishDate | 2020 |
| publisher | European Mathematical Society |
| record_format | dspace |
| spelling | oxford-uuid:23e80cf2-9b03-4789-b352-8feb6041bb8d2022-03-26T11:46:47ZExotic t-structures and actions of quantum affine algebrasJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:23e80cf2-9b03-4789-b352-8feb6041bb8dEnglishSymplectic Elements at OxfordEuropean Mathematical Society2020Cautis, SKoppensteiner, CWe explain how quantum affine algebra actions can be used to systematically construct "exotic" t-structures. The main idea, roughly speaking, is to take advantage of the two different descriptions of quantum affine algebras, the Drinfeld--Jimbo and the Kac--Moody realizations. Our main application is to obtain exotic t-structures on certain convolution varieties defined using the Beilinson--Drinfeld and affine Grassmannians. These varieties play an important role in the geometric Langlands program, knot homology constructions, K-theoretic geometric Satake and the coherent Satake category. As a special case we also recover the exotic t-structures of Bezrukavnikov--Mirkovic on the (Grothendieck--)Springer resolution in type A. |
| spellingShingle | Cautis, S Koppensteiner, C Exotic t-structures and actions of quantum affine algebras |
| title | Exotic t-structures and actions of quantum affine algebras |
| title_full | Exotic t-structures and actions of quantum affine algebras |
| title_fullStr | Exotic t-structures and actions of quantum affine algebras |
| title_full_unstemmed | Exotic t-structures and actions of quantum affine algebras |
| title_short | Exotic t-structures and actions of quantum affine algebras |
| title_sort | exotic t structures and actions of quantum affine algebras |
| work_keys_str_mv | AT cautiss exotictstructuresandactionsofquantumaffinealgebras AT koppensteinerc exotictstructuresandactionsofquantumaffinealgebras |