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Formal moduli problems and partition lie algebras

Alternative title:
joint work with Akhil Mathew
Abstract:
If k is a field of characteristic zero, a theorem of Lurie–Pridham asserts an equivalence between formal moduli problems and d.g. Lie algebras over k. 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.
Publication status:
Published
Peer review status:
Not peer reviewed

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Publisher copy:
10.4171/OWR/2018/31

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0001-8078-2935


Publisher:
EMS Press
Host title:
Oberwolfach Reports
Journal:
Oberwolfach Reports More from this journal
Volume:
15
Issue:
3
Pages:
1883-1886
Publication date:
2019-08-27
Acceptance date:
2019-01-24
Event title:
Mathematisches Forschungsinstitut Oberwolfach Workshop on Topologie (2018)
Event location:
Oberwolfach
Event website:
https://www.mfo.de/occasion/1827/www_view
Event start date:
2018-07-01
Event end date:
2018-07-07
DOI:
EISSN:
1660-8941
ISSN:
1660-8933


Language:
English
Pubs id:
pubs:954699
UUID:
uuid:c2633a6c-572e-4671-a10e-8d1fabe265a4
Local pid:
pubs:954699
Source identifiers:
954699
Deposit date:
2018-12-25

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