Speaker: Sasha Garbali (University of Melbourne)
Time: Thursday, Jun-12 16:00
Location: R1410, SIMIS
Zoom Meeting ID: 838 293 7191 (Passcode: SIMIS)
Abstract:
I will start by considering a two dimensional lattice model with Boltzmann weights given by the R matrix of the quantum affine gl_{n|m} algebra. The model is considered on a finite portion of the square lattice with partially identified boundary conditions, giving rise to a conic geometry. I will argue that such partition functions are generated by an operatorial exponential generating function. I will then move on to discussing how this generating function is related to a commuting subalgebra of the quantum toroidal gl_{n|m} algebra.
About Speaker:
Dr Garbali received his PhD from LPTHE, Paris where he worked on quantum groups integrable vertex models and loop models. He then moved as a postdoc to the University of Melbourne, and received in 2020 a DECRA fellowship from the Australia Research Council. He is currently working on higher rank quantum toroidal and shuffle algebras and related topics.
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