Zobrazeno 1 - 10
of 249
pro vyhledávání: '"Pridham J"'
Autor:
Pridham, J. P.
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 for many types of pro-\'etale sheaves, and to construct shifted sympl
Externí odkaz:
http://arxiv.org/abs/2205.02292
Autor:
Eugster, J., Pridham, J. P.
Mostly aimed at an audience with backgrounds in geometry and homological algebra, these notes offer an introduction to derived geometry based on a lecture course given by the second author. The focus is on derived algebraic geometry, mainly in charac
Externí odkaz:
http://arxiv.org/abs/2109.14594
Autor:
Pridham, J. P.
We introduce a formalism for derived moduli functors on differential graded associative algebras, which leads to non-commutative enhancements of derived moduli stacks and naturally gives rise to structures such as Hall algebras. Descent arguments are
Externí odkaz:
http://arxiv.org/abs/2008.11684
Autor:
Pridham, J. P.
We introduce the notions of shifted bisymplectic and shifted double Poisson structures on differential graded associative algebras, and more generally on non-commutative derived moduli functors with well-behaved cotangent complexes. For smooth algebr
Externí odkaz:
http://arxiv.org/abs/2008.11698
Autor:
Pridham, J. P.
We explain how any Artin stack $\mathfrak{X}$ over $\mathbb{Q}$ extends to a functor on non-negatively graded commutative cochain algebras, which we think of as functions on Lie algebroids or stacky affine schemes. There is a notion of \'etale morphi
Externí odkaz:
http://arxiv.org/abs/1905.09255
Autor:
Pridham, J. P.
We develop Tannaka duality theory for dg categories. To any dg functor from a dg category $\mathcal{A}$ to finite-dimensional complexes, we associate a dg coalgebra $C$ via a Hochschild homology construction. When the dg functor is faithful, this giv
Externí odkaz:
http://arxiv.org/abs/1812.10822
Autor:
Pridham, J. P.
We formulate a notion of $E_{-1}$ quantisation of $(-2)$-shifted Poisson structures on derived algebraic stacks, depending on a flat right connection on the structure sheaf, as solutions of a quantum master equation. We then parametrise $E_{-1}$ quan
Externí odkaz:
http://arxiv.org/abs/1809.11028
Autor:
Pridham, J. P.
We give a formulation for derived analytic geometry built from commutative differential graded algebras equipped with entire functional calculus on their degree 0 part, a theory well-suited to developing shifted Poisson structures and quantisations.
Externí odkaz:
http://arxiv.org/abs/1805.08538
Autor:
Pridham, J. P.
We explain how to translate several recent results in derived algebraic geometry to derived differential geometry. These concern shifted Poisson structures on NQ-manifolds, Lie groupoids, smooth stacks and derived generalisations, and include existen
Externí odkaz:
http://arxiv.org/abs/1804.07622