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Mathematical Physics Seminar - Log-Sobolev Inequality, Maass Spectra, Grassmann Integrals, and Advanced Topics

Institute for Advanced Study via YouTube

Overview

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Explore advanced topics in mathematical physics through this comprehensive seminar series featuring seven distinguished lectures from leading researchers. Delve into the log-Sobolev inequality for near critical Ising and continuum φ4 measures with Roland Bauerschmidt, examine bounds on Maass spectra from holomorphic forms presented by Dalimil Mazac, and gain foundational knowledge of Grassmann integrals and their statistical mechanics applications through Vieri Mastropietro's introduction. Investigate large genus asymptotics in flat surfaces and hyperbolic geodesics with Amol Aggarwal, study invariant Gibbs measures for the cubic nonlinear wave equation as presented by Bjoern Bringmann, and explore the emerging field of Morse theory of dispersion relations with Gregory Berkolaiko. Conclude with an examination of modular bootstrap, Segal's axioms, and the resolution of Liouville conformal field theory presented by Rhodes and Vargas, covering cutting-edge developments at the intersection of mathematical analysis, statistical mechanics, and quantum field theory.

Syllabus

Log-Sobolev inequality for near critical Ising and continuum φ4 measures - Roland Bauerschmidt
Bounds on Maass spectra from holomorphic forms - Dalimil Mazac
An Introduction to Grassmann integrals with applications to statistical mechanics-Vieri Mastropietro
Large Genus Asymptotics in Flat Surfaces and Hyperbolic Geodesics - Amol Aggarwal
Invariant Gibbs measures for the cubic nonlinear wave equation - Bjoern Bringmann
Towards Morse theory of dispersion relations - Gregory Berkolaiko
Modular bootstrap, Segal's axioms and resolution of Liouville conformal field theory -Rhodes, Vargas

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Institute for Advanced Study

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