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Double ramification cycles and integrable hierarchies.

Le : 03/02/2015 14h00
Par : Paolo Rossi et Alexandre Buryak
Lieu : I 001
Lien web :
Résumé : Partie 1 We will talk about a new construction of a hamiltonian hierarchy of PDEs associated to a cohomological field theory. The construction is based on the integration over the double ramification cycles and is motivated by Symplectic Field Theory. The hierarchy has a lot of nice properties that follow from the geometry of the double ramification cycles. These properties include effective recursions for the Hamiltonians and a simple formula for their quantization. Conjecturally, in the semisimple case, the new hierarchy is related to the Dubrovin-Zhang hierarchy by a Miura transformation.