Research Group:
Speaker:
Michael Gekhmtan
Institution:
Notre Dame University
Schedule:
Monday, June 5, 2017 - 14:00
Location:
A-005
Abstract:
I will discuss a Hamiltonian formalism for cluster mutations using canonical (Darboux) coordinates and piecewise-Hamiltonian flows with Euler dilogarithm playing the role of the Hamiltonian. The Rogers dilogarithm then appears naturally in the dual Lagrangian picture. I will show how the dilogarithm identity associated with a period of mutations in a cluster algebra arises from Hamiltonian/Lagrangian point of view.(Based on the joint project with T. Nakanishi and D. Rupel.)