Aaron Pixton- The Double Ramification Cycle

Explore the intricacies of the double ramification cycle in this 45-minute lecture by Aaron Pixton, presented by the International Mathematical Union. Delve into divisorial conditions, compute DR(A), and examine the tautological ring. Investigate dual graphs, tautological generators, and the multiplication of Hain's formula. Follow along with a worked example and its interpretation, gain insight into the proof's concept, and discover practical applications of this mathematical theory.

Intro
Setup
Divisorial condition
Computing DR(A)
The tautological ring
Dual graphs
Tautological generators
Multiplying out Hain's formula
Example of w
Attempt at a formula on M.
Example (continued) Interpretation
Idea of proof
Applications