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Spacetime and Quantum Mechanics Master Class Workshop October 28-30, 2019
Monday, Oct 28:
Sebastian Mizera (IAS)
"Aspects of Scattering Amplitudes and Moduli Space Localization”
8:30 - 9:30am Breakfast
9:00 - 10:00am I. Motivation: Riemann Surfaces, Critical Points, Bilinear Relations
10:00 - 10:30am Break
10:30 - 11:30am II. Introduction to Intersection Theory for Twisted Homologies
11:30 - 1:30pm Lunch
1:30 - 2:30pm III. Braids, Moduli Spaces, and String Theory Amplitudes
2:30 - 3:00pm Break
3:00 - 4:00pm V. Scattering Amplitudes as Intersection Numbers
4:00 - 4:30pm Break
4:30 - 5:00pm V. From Infinity to Four Dimensions: Higher Residue Pairings and Feynman Integrals
Tuesday, Oct 29:
Lauren Williams (Harvard) and Thomas Lam (MIT & Michigan):
"Total Positivity and Cluster Algebras"
8:30 - 9:30am Breakfast
9:00 - 10:00am Lauren Williams, Introduction to cluster algebras: from triangulations of a polygon to surface triangulations and the Grassmannian
10:00 - 10:30am Break
10:30 - 11:30am Lauren Williams, Introduction to cluster algebras from surfaces
11:30 - 1:30pm Lunch
1:30 - 2:30pm Thomas Lam, Introduction to total positivity
2:30 - 3:00pm Break
3:00 - 4:00pm Lauren Williams, Higher associahedra and regular plabic graphs
4:00 - 4:30pm Break
4:30 - 5:00pm Thomas Lam, Topology and arithmetic of cluster varieties
Wednesday, Oct 30:
Nima Arkani-Hamed (CMSA & IAS):
"Frontiers in the Physics and Mathematics of Positive Geometries"
8:30 - 9:30am Breakfast
9:00 - 10:00am Positive Geometry in Kinematic Space (I): The Amplituhedron
10:00 - 10:30am Break
10:30 - 11:30am Positive Geometry in Kinematic Space (II): From Causal Diamonds to Cluster Polytopes
11:30 - 1:30pm Lunch
1:30 - 2:30pm Stringy Canonical Forms, Binary Positive Geometries, and Generalized Particle and String Amplitudes
2:30 - 3:00pm Break
3:00 - 4:00pm Towards non-perturbative geometry for scattering amplitudes: G(k,n)/T, Dual Amplituhedra and Beyond
4:00 - 4:30pm Break
4:30 - 5:30pm Colloquium
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