Instructor: Emily Cliff.
Lectures: MWF 11--11:50am, 145 Altgeld Hall.
Office hours:M 12--12:50pm, 165 Altgeld Hall (or by appointment).
in reverse chronological order
| Date | Material covered. | |
|---|---|---|
| Wednesday, 12 December. |
Problem session and cookies. |
|
| Monday, 10 December. |
Affine Kac-Moody vertex algebras and chiral algebras. |
|
| Friday, 7 December. |
Lattice vertex algebras and chiral algebras. |
|
| Wednesday, 5 December. |
Vertex algebras and chiral algebras. |
|
| Monday, 3 December. |
Commutative chiral algebras; chiral enveloping algebras. | |
| Friday, 30 November. |
Commutative chiral algebras/factorization algebras. |
|
| Wednesday, 28 November. |
Chiral Koszul duality (in arbitrary dimension). |
|
| Monday, 26 November. |
Chiral Koszul duality (over a curve). |
|
| Friday, 16 November. |
Unital factorization spaces; chiral algebras. |
|
| Wednesday, 14 November. |
Beauville--Laszlo theorem; linearizing factorization spaces. |
|
| Monday, 12 November. |
Factorization spaces; Beilinson--Drinfeld Grassmannian. |
|
| Friday, 9 November |
D-modules on pseudo-indschemes; contractibility of the Ran space; factorization algebras. |
|
| Wednesday, 7 November. |
Crystals; D-modules on prestacks. |
|
| Monday, 5 November. |
De Rham prestacks; crystals. |
|
| Friday, 2 November. |
Stackification; sheaves on prestacks. |
|
| Wednesday, 31 October. |
Prestacks and stacks. |
|
| Monday, 29 October. |
D-modules II. |
|
| Friday, 26 October. |
D-modules I. |
|
| Wednesday, 24 October. |
Introduction to the course. |
|
| Monday, 22 October. |
No class! |