The Derived Algebraic Geometry seminar meets every Wednesday at 4pm (and occasionally Friday), in RLM 8.136. (Check the schedule below for exact dates.)
This is a learning seminar organized by Richard Hughes (rhughes [at] math [dot] utexas [dot] edu) and Aaron Royer. It it the continuation of a Fall 2014 seminar on Rational Homotopy Theory, which was organised by Dan Kaplan.
This aim of this seminar is to study derived algebraic geometry, with a focus on understanding Jacob Lurie's work on formal moduli problems (DAG X). A list of references organized by topic can be found below.
The schedule of talks is as follows:
Date | Topic | Speaker | Selected References |
---|---|---|---|
28th January | Examples of moduli problems | Richard Hughes | [BZ] [F] [L2] |
4th February | Formal algebraic geometry and completion | Dan Kaplan | [H] [S] |
11th February | What is a stack? | Rustam Antia-Riedel | [B] [F] |
13th February | What is a higher stack? (Friday overflow discussion) | Group discussion | [T1] |
18th February | Infinity categories as models for homotopy theories | Yaoguang Zhu | [L3] [L4] |
25th February | Category theory of infinity categories | Yuri Sulyma | [G] [L4] |
27th February | More homotopy and category theory for infinity categories (Friday overflow discussion) | Group discussion | [G] [L3] [L4] |
4th March | Algebra in infinity categories | Val Zakharevich | [L5] |
11th March | Cotangent complex formalism | Yuecheng Zhu and Tom Mainiero | [F] [L2] [L5] [LV] [PV] [Q] [V] |
13rd March | More on the cotangent complex (Friday overflow) | Yuecheng Zhu | [PV] [Q] [V] |
18th March | Spring Break | Nobody (take a holiday, folks) | Read a good novel (and DAG-X!) |
25th March | What is a formal derived stack? | Yuecheng Zhu and Tom Mainiero | [F] [L2] [PV] [V] |
1st April | Introduction to DAG-X | Surya Raghavendran | [L1] |
8th April | The deformation context of commutative algebras | Yuri Sulmya | [L1] |
15th April | dg-Lie algebras and the tangent complex | Rustam Antia-Riedel | [L1] [L5] |
17th April | Lie algebras (Friday overflow discussion) | Rustam Antia-Riedel | [L1] [L5] |
22nd April | Deformation theories | Aaron Royer | [L1] [L5] |
29th April | No seminar | ||
8th May | Koszul duality is a deformation theory | Richard Hughes | [L1] [L5] |