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