Derived algebraic geometry working seminar

Wednesday 3-3:50pm, room MS7608

Derived algebraic geometry

D.Gaitsgory and N.Rozenblyum, A study in derived algebraic geometry

J.Lurie, Derived algebraic geometry

J.Lurie, Spectral algebraic geometry

B.Toen, Derived algebraic geometry

B.Toen, Higher and derived stacks: A global overview

B.Toen, Homotopical and higher categorical structures in algebraic geometry

B.Toen and G.Vezzosi, Homotopical algebraic geometry. I: Topos theory

B.Toen and G.Vezzosi, Homotopical algebraic geometry. II: Geometric stacks and applications

B.Toen and G.Vezzosi, From HAG to DAG: derived moduli stacks

G.Vezzosi, A note on the cotangent complex in derived algebraic geometry

G.Vezzosi, What is a derived stack?

Infinity categories

M.Groth, A short course on infinity categories

J.Lurie, Higher Topos theory

J.Lurie, Higher Algebra

J.Lurie, What is an infinity category?

E.Riehl, Quasi categories as (infinity,1)-categories

E.Riehl and D.Verity, Infinity category theory from scratch

Wednesday 3-3:50pm, room MS7608

- October 3 Raphael Rouquier, Introduction to derived algebraic geometry
- October 10 Noah White, Moduli Problems
- October 19 (Friday) Laurent Vera, Derived commutative algebras
- October 24 Jeremy Brightbill, Introduction to infinity-categories
- November 9 (Friday) Bar Roytman, Derived schemes

- November 14 ?, Cotangent complexes

- November 21 ?, Stacks

- November 28 ?, Higher stacks

- December 5 ?, Derived moduli problems

References

Derived algebraic geometry

D.Gaitsgory and N.Rozenblyum, A study in derived algebraic geometry

J.Lurie, Derived algebraic geometry

J.Lurie, Spectral algebraic geometry

B.Toen, Derived algebraic geometry

B.Toen, Higher and derived stacks: A global overview

B.Toen, Homotopical and higher categorical structures in algebraic geometry

B.Toen and G.Vezzosi, Homotopical algebraic geometry. I: Topos theory

B.Toen and G.Vezzosi, Homotopical algebraic geometry. II: Geometric stacks and applications

B.Toen and G.Vezzosi, From HAG to DAG: derived moduli stacks

G.Vezzosi, A note on the cotangent complex in derived algebraic geometry

G.Vezzosi, What is a derived stack?

Infinity categories

M.Groth, A short course on infinity categories

J.Lurie, Higher Topos theory

J.Lurie, Higher Algebra

J.Lurie, What is an infinity category?

E.Riehl, Quasi categories as (infinity,1)-categories

E.Riehl and D.Verity, Infinity category theory from scratch