Double ramification cycles and integrable systems

October 7 to October 11, 2019

at the

American Institute of Mathematics, San Jose, California

organized by

Alexandr Buryak, Renzo Cavalieri, Emily Clader, and Paolo Rossi

Original Announcement

This workshop will be devoted to the study of the double ramification cycle in the moduli space of stable curves and its relation with the theory of integrable systems of PDEs, with a special stress on the double ramification hierarchy, a construction associating to any cohomological field theory an integrable system of PDEs and its quantization. The goal is bringing together experts in the geometry of moduli spaces of curves, both algebraic and symplectic, and exponents of the integrable systems community to approach several specific open problems at the boundary between these two disciplines.

The main topics for the workshop are:

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.

A list of open problems.

Workshop Videos

Papers arising from the workshop:

Pixton's formula and Abel-Jacobi theory on the Picard stack
by  Younghan Bae, David Holmes, Rahul Pandharipande, Johannes Schmitt, and Rosa Schwarz