J.P. Pridham

Preprints and papers

Seminar notes and slides

• Semiregularity via derived deformation theory
(arXiv:1112.6001)

• Real non-abelian mixed Hodge structures for schematic homotopy types of quasi-projective varieties
(arXiv:1104.1409)

• Constructing derived moduli stacks
(arXiv:1101.3300)

• Derived moduli of schemes and sheaves
(arXiv:1011.2742), to appear in JKT.

• Representability of derived stacks
(arXiv:1011.2189), to appear in JKT.

• On l-adic pro-algebraic and relative pro-l fundamental groups
in "The Arithmetic of Fundamental Groups PIA 2010", Contributions in Mathematical and Computational Sciences Vol. 2, pp.245-279, 2012.

• The homotopy theory of strong homotopy algebras and bialgebras
(arXiv:0908.0116), Homology, Homotopy and Applications 12(2), 2010, pp.39-108.

• Presenting higher stacks as simplicial schemes
(arXiv:0905.4044)

• Hodge structures on analytic moduli of real pluriharmonic bundles
(arXiv:0902.0766)

• Formality and splitting of real non-abelian mixed Hodge structures
(arXiv:0902.0770)

• Derived deformations of Artin stacks
(arXiv:0805.3130)

• Galois actions on homotopy groups of algebraic varieties
(arXiv:0712.0928), Geom. Topol. 15:1 (2011), 501-607; doi:10.2140/gt.2011.15.501.

• Derived deformations of schemes
(arXiv:0908.1963), to appear in Comm. Anal. Geom.

• Unifying derived deformation theories
(arXiv:0705.0344), Adv. Math. 224 (2010), no.3, 772-826; doi:10.1016/j.aim.2009.12.009.
The local copy and and arXiv v6 incorporate the changes listed in this corrigendum.

• Non-abelian real Hodge theory for proper varieties
(math.AG/0611686), superseded by 0902.0770.

• Pro-algebraic homotopy types
(math.AT/00606107), Proc. London Math. Soc. 2008 97: 273-338; doi: 10.1112/plms/pdn004.

• Weight decompositions on etale fundamental groups
(math.AG/0510245), Amer. J. Math. 131 (2009), no. 3, 869-891.

• The pro-unipotent radical of the pro-algebraic fundamental group of a compact Kaehler manifold
(math.CV/0502451), Ann. Fac. Sci. Toulouse Math. (6), 16(1): 147-178, 2007.

• Galois actions on the pro-l-unipotent fundamental group
(math.AG/0404314), largely superseded by 0712.0928.

• The structure of the pro-l-unipotent fundamental group of a smooth variety
(math.AG/0401378), largely superseded by 0510245.

• Deformations of schemes and other bialgebraic structures,
Trans. Amer. Math. Soc. 360 (2008) 1601-1629. (Mostly contained in 0311168.)

• Deforming l-adic representations of the fundamental group of a smooth variety,
J. Algebraic Geom., 15 (2006), 415-442. (Mostly contained in the two preprints below.)

• The deformation theory of representations of the fundamental group of a smooth variety
(math.AG/0401344)

• Deformations via simplicial deformation complexes
(math.AG/0311168)

• Notes characterising higher and derived stacks concretely
(arXiv:1105.4853), based on talks given at the i-MATH School on Derived Algebraic Geometry (Salamanca 2009), the GAD I meeting (Montpellier 2010), the British Mathematics Colloquium (Leicester 2011), and a small part of my graduate lecture course.

• Notes from my lecture course "Derived deformation functors", given at the Workshop in Deformation Theory II in Rome, are available on Stefano Maggiolo's blog here.

• Derived deformations via bialgebras
(a slightly expanded version of my cats3 talk in Pisa)