Derived Algebraic Geometry

2014/01/06 by Bertrand Toën, Toën, Bertrand · 1 voice · 9 citations
Mathematics · #math.AG

paper · pdf · doi:10.48550/arxiv.1401.1044

Abstract

This text is a survey of derived algebraic geometry. It covers a variety of general notions and results from the subject with a view on the recent developments at the interface with deformation quantization.

Citations

• Quasi-Hamiltonian reduction via classical Chern–Simons theory

Cited by

• De Rham affineness of the Nygaard filtered prismatization in positive characteristic
• (-1)-Shifted Darboux theorem of derived schemes in characteristic p>2
• Shifted double Poisson structures and noncommutative Poisson extensions
• On the combinatorics of exact Lagrangian surfaces
• Spectral moduli problems for level structures and an integral Jacquet-Langlands dual of Morava E-theory
• Abel maps for integral curves via a derived perspective
• Donaldson-Thomas invariants of [\mathbb C⁴/\mathbb Z_r]
• Derived O_k-adic geometry and derived Raynaud localization theorem
• Equivariant localizing invariants of simple varieties

Discussions

• I'm no expert on this stuff! To learn it from an expert, you could try this 80-page minibook by Bertrand Toën: (11/n) [bsky, 7 points, 1 comments]

Related

• Derived Algebraic Geometry and Deformation Quantization
• An introduction to derived (algebraic) geometry
• A note on the cotangent complex in derived algebraic geometry
• Algebraic Deformation Quantization
• Notes on derived algebraic geometry