Formal moduli problems and partition lie algebras
If <em>k</em> is a field of characteristic zero, a theorem of Lurie–Pridham asserts an equivalence between formal moduli problems and d.g. Lie algebras over <em>k</em>. We generalise this equivalence to arbitrary fields by using “partition Lie algebras”. These new gadgets are...
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| Format: | Conference item |
| Language: | English |
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EMS Press
2019
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| _version_ | 1811141195084070912 |
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| author | Brantner, L |
| author_facet | Brantner, L |
| author_sort | Brantner, L |
| collection | OXFORD |
| description | If <em>k</em> is a field of characteristic zero, a theorem of Lurie–Pridham asserts an equivalence between formal moduli problems and d.g. Lie algebras over <em>k</em>. We generalise this equivalence to arbitrary fields by using “partition Lie algebras”. These new gadgets are intimately related to the equivariant topology of the partition complex, which allows us to access the operations acting on their homotopy groups. |
| first_indexed | 2024-03-07T03:54:27Z |
| format | Conference item |
| id | oxford-uuid:c2633a6c-572e-4671-a10e-8d1fabe265a4 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-09-25T04:34:01Z |
| publishDate | 2019 |
| publisher | EMS Press |
| record_format | dspace |
| spelling | oxford-uuid:c2633a6c-572e-4671-a10e-8d1fabe265a42024-09-11T10:28:51ZFormal moduli problems and partition lie algebrasConference itemhttp://purl.org/coar/resource_type/c_5794uuid:c2633a6c-572e-4671-a10e-8d1fabe265a4EnglishSymplectic Elements at OxfordEMS Press2019Brantner, LIf <em>k</em> is a field of characteristic zero, a theorem of Lurie–Pridham asserts an equivalence between formal moduli problems and d.g. Lie algebras over <em>k</em>. We generalise this equivalence to arbitrary fields by using “partition Lie algebras”. These new gadgets are intimately related to the equivariant topology of the partition complex, which allows us to access the operations acting on their homotopy groups. |
| spellingShingle | Brantner, L Formal moduli problems and partition lie algebras |
| title | Formal moduli problems and partition lie algebras |
| title_full | Formal moduli problems and partition lie algebras |
| title_fullStr | Formal moduli problems and partition lie algebras |
| title_full_unstemmed | Formal moduli problems and partition lie algebras |
| title_short | Formal moduli problems and partition lie algebras |
| title_sort | formal moduli problems and partition lie algebras |
| work_keys_str_mv | AT brantnerl formalmoduliproblemsandpartitionliealgebras |