Paul Wiegmann - Quantum Field Theory & Selberg-Dyson Integrals with large variables on Jordan curves
Автор: Institute for Pure & Applied Mathematics (IPAM)
Загружено: 2026-01-28
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Recorded 28 January 2026. Paul Wiegmann of the University of Chicago presents "Quantum Field Theory Approach to Selberg-Dyson Integrals with a large number of variables on Jordan curves" at IPAM's New Interactions Between Probability and Geometry Workshop.
Abstract: The talk is based on a (not so) recent paper with Anton Zabrodin, where we discussed an ensemble of particles with logarithmic repulsive interaction on a Jordan curve. Such a problem is described by a geometric deformation of the celebrated Dyson-Selberg integral In the limit of a large number of variables, the integral converges to the spectral determinant of the Neumann jump operator defined on the curve. These results suggest that the Dyson-Selberg integral exhibits an emergent conformal covariance and utilize a probabilistic version of theFekete's theory of the finite-dimensional approximation of conformal maps.
Learn more online at: https://www.ipam.ucla.edu/programs/wo...
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