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What Perturbative Field Theory Teaches Us About Statistical Analysis

Offered By: Institut des Hautes Etudes Scientifiques (IHES) via YouTube

Tags

Statistical Mechanics Courses Particle Physics Courses Functional Analysis Courses Regularization Courses Mathematical Physics Courses Divergence Courses

Course Description

Overview

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Explore a thought-provoking lecture on the intersection of particle physics, statistical mechanics, and functional analysis. Delve into the surprising applications of Feynman diagrams and integrals beyond their traditional domains. Discover how perturbative field theory techniques can be applied to the Optimal Transportation Problem, offering new insights and results. Examine the challenges of dealing with infinities and divergences across different fields, and learn why naive approaches fail while more sophisticated methods succeed in resolving apparent contradictions. Gain a deeper understanding of the connections between seemingly disparate areas of mathematics and physics through this 57-minute talk by Andrea Sportiello from Paris-North University, LIPN, presented at the Institut des Hautes Etudes Scientifiques (IHES).

Syllabus

Andrea Sportiello - What does perturbative field theory teaches us on the statistical (...)


Taught by

Institut des Hautes Etudes Scientifiques (IHES)

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