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Frozen Boundaries and Their Fluctuations in the Square-Ice Model

Offered By: Institute for Pure & Applied Mathematics (IPAM) via YouTube

Tags

Statistical Mechanics Courses Mathematical Physics Courses

Course Description

Overview

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Explore a 48-minute conference talk on the emptiness formation probability (EFP) in the six-vertex model with domain wall boundary conditions. Delve into Filippo Colomo's research on frozen boundaries and their fluctuations in the square-ice model, presented at IPAM's Vertex Models workshop. Discover the explicit, conjectural expression for EFP using finite-size matrix determinants and Fredholm determinants. Examine how the geometric parameters of EFP relate to the arctic curve in the scaling limit, leading to the GUE Tracy-Widom distribution. Gain insights into this collaborative work with A. Pronko, exploring advanced concepts in statistical mechanics and mathematical physics.

Syllabus

Filippo Colomo - Frozen boundaries and their fluctuations in the square-ice model - IPAM at UCLA


Taught by

Institute for Pure & Applied Mathematics (IPAM)

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