Constructing derived moduli stacks

Jonathan P. Pridham*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We introduce frameworks for constructing global derived moduli stacks associated to a broad range of problems, bridging the gap between the concrete and abstract conceptions of derived moduli. Our three approaches are via differential graded Lie algebras, via cosimplicial groups, and via quasicomonoids, each more general than the last. Explicit examples of derived moduli problems addressed here are finite schemes, polarised projective schemes, torsors, coherent sheaves and finite group schemes.

Original languageEnglish
Pages (from-to)1417-1495
Number of pages79
JournalGeometry and Topology
Volume17
Issue number3
DOIs
Publication statusPublished - 2013

Keywords

  • HILBERT SCHEMES
  • HOMOTOPY-THEORY
  • DEFORMATIONS

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