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Verblunsky Correspondence, Factorization and Lattice Systems

Mathematical Physics and Probability Seminar

Verblunsky Correspondence, Factorization and Lattice Systems
Series: Mathematical Physics and Probability Seminar
Location: MATH 402
Presenter: Mohammad Latifi Jebelli
In this talk, we discuss the Verblunksy correspondence and give a new one-parameter family of such correspondence. This one-parameter family emerges from the theory of Gaussian free fields and what we call the super-telescoping formula. In addition, we argue that any instance of Verblunksy correspondence translates into a certain factorization expression for loops into the group SU(1,1), which also gives an expression for the partition function of a semi-infinite 1D lattice model.
 
This talk is in person but we will also stream it via Zoom: https://arizona.zoom.us/j/85470607369