6 papers · 1 filter
Derived derivations govern contraderived deformations of dg algebras over dg (pr)operads
J. P. Pridham
We show that Hinich's simplicial nerve of the differential graded Lie algebra (DGLA) of derived derivations of a dg algebra over a dg properad is equivalent to th…
Non-commutative derived analytic moduli functors
J. P. Pridham
We develop a formulation for non-commutative derived analytic geometry built from differential graded (dg) algebras equipped with free entire functional calculus (FEFC), relating t…
Shifted bisymplectic and double Poisson structures on non-commutative derived prestacks
J. P. Pridham
We introduce the notions of shifted bisymplectic and shifted double Poisson structures on differential graded associative algebras, and more generally on non-commutative derived mo…
Quantisation of derived Poisson structures
J. P. Pridham
We prove that every -shifted Poisson structure on a derived Artin -stack admits a curved deformation quantisation whenever the stack has perfect cotangent comple…
Semiregularity as a consequence of Goodwillie's theorem
J. P. Pridham
We realise Buchweitz and Flenner's semiregularity map (and hence a fortiori Bloch's semiregularity map) for a smooth variety as the tangent of a generalised Abel--Jacobi map on…
Shifted symplectic structures on derived analytic moduli of -adic local systems and Galois representations
J. P. Pridham
We develop a characterisation of non-Archimedean derived analytic geometry based on dg enhancements of dagger algebras. This allows us to formulate derived analytic moduli functors…