Math 595: Factorization spaces and factorization algebras

Spring 2018

Instructor: Emily Cliff.

Lectures: MWF 11--11:50am, 145 Altgeld Hall.

Office hours:M 12--12:50pm, 165 Altgeld Hall (or by appointment).


Tentative course plan


Homework problems

Homework 1.

Homework 2.


Course progress

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!