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Dilogarithm identities in cluster algebras from Hamiltonian/Lagrangian point of view

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.)

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