Orateur
Alexander Buryak
Description
An explicit formula for the double ramification cycle on the moduli space of curves was proposed by Pixton several years ago and soon proved by Janda–Pandharipande–Pixton–Zvonkine. Actually, Pixton's formula gives a nonhomogeneous deformation of the double ramification cycle. In a joint work with P. Rossi we proved that the intersection numbers with this deformed class gives a solution of a noncommutative KdV hierarchy defined on the space of functions in two variables with the usual product replaced by the Moyal star-product. I will try to explain the main ideas of our proof.
