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Summer School in Total Positivity and Quantum Field Theory

Harvard CMSA via YouTube

Overview

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Explore the intersection of mathematics and physics through this comprehensive summer school that bridges total positivity, matroid theory, discrete geometry, and real algebraic geometry with fundamental questions in quantum field theory. Delve into cutting-edge topics including amplituhedra, cluster algebras, and positive geometry as they relate to scattering amplitudes and cosmological correlators in high-energy physics. Learn from distinguished mathematicians and physicists including Nima Arkani-Hamed on cosmology and cosmological polytopes, Simon Telen on positive geometry of polytopes and definitions of positive geometries, Marcus Spradlin on scattering amplitudes and amplituhedra, and Lara Bossinger on positive Grassmannian and cluster algebras. Participate in lightning talks that showcase diverse research perspectives and engage with content designed to be accessible to participants from varied mathematical and physics backgrounds. Gain insights into this exciting period of collaboration between mathematicians and physicists while exploring rich, cutting-edge topics that connect abstract mathematical concepts with fundamental physical phenomena.

Syllabus

Nima Arkani-Hamed | Cosmology and Cosmological Polytopes I
Simon Telen | Positive geometry of polypols
Marcus Spradlin | Scattering Amplitudes and Amplituhedra III
Marcus Spradlin | Scattering Amplitudes and Amplituhedra II
Lara Bossinger | Positive Grassmannian and Cluster Algebras III
Summer School in Total Positivity and Quantum Field Theory | Lightning Talks
Simon Telen | Positive geometry of polytopes
Simon Telen | Definitions and first examples of positive geometries II
Marcus Spradlin | Scattering Amplitudes and Amplituhedra I
Lara Bossinger | Positive Grassmannian and Cluster Algebras II
Nima Arkani-Hamed | Cosmology and Cosmological Polytopes III
Nima Arkani-Hamed | Cosmology and Cosmological Polytopes II
Lara Bossinger | Positive Grassmannian and Cluster Algebras I

Taught by

Harvard CMSA

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