Name: Periodicity, positivity and integrability of T-systems
Uploaded: 2012-10-30T00:00:00-04:00
Duration: 1 hour 41 seconds
Description: We present a complete solution of T-systems using positive flat connections, and obtain simple derivations of periodicity and positivity properties. We also present an inhomogeneous generalization of the Robbins-Rumsey Lambda-determinant corresponding to the T-system cluster algebra with coefficients, and a new formula involving alternating sign matrices.

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Periodicity, positivity and integrability of T-systems

October 30, 2012
MSRI
Presenters: Philippe di Francesco
Length: 1 hour 41 seconds

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Abstract

We present a complete solution of T-systems using positive flat connections, and obtain simple derivations of periodicity and positivity properties. We also present an inhomogeneous generalization of the Robbins-Rumsey Lambda-determinant corresponding to the T-system cluster algebra with coefficients, and a new formula involving alternating sign matrices.

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