Derived Algebraic Geometry

By Bertrand Toën. 2014

297 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/aa6b1ffcd786231abd2de92fac5fe4151401cbe3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Lennart Meier
2. M. Hill
3. Søren Galatius
4. Akshay Venkatesh
5. B. Bhatt
6. A. Mathew
7. A. Beilinson
8. Peter Scholze

In Mathematical Physics

1. Lennart Meier
2. M. Hill
3. Søren Galatius
4. Akshay Venkatesh
5. B. Bhatt
6. A. Mathew
7. A. Beilinson
8. Peter Scholze

Citations in the corpus

• The C2–spectrum Tmf1(3) and its invertible modules (2015, background): “3] and for a full-blown treatment see [42].”
• Algebraization and Tannaka duality (2014, background): “5 in §2; this section contains the most serious dose of derived algebraic geometry in this paper, and one can find outsider-friendly discussions of some key notions in [Gro10], [Toë14], and [BZFN10, §2–3].”
• Derived Galois deformation rings (2016, methodology): “Following the setup of [22], we shall be especially interested in a certain full subcategory Artk Ă SCR{k of “Artin” objects, defined in the next subsection.”