Watch a 38-minute lecture from the Workshop on Nonlinear Algebra and Combinatorics from Physics where Max Planck Institute's Simon Telen explores Landau discriminants, their geometric properties, and computational methods. Learn about projective varieties containing kinematic parameters for Feynman integral singularities, with practical applications demonstrated through the pentabox diagram - a degree 12 hypersurface in 6-space. Follow along as the presentation covers discriminants, incidence variety, physics applications, lambda analysis, numerical methods, and loop diagrams, culminating in a comprehensive examination of this mathematical concept's intersection with physics. The talk, delivered at Harvard CMSA, represents joint research work with Sebastian Mizera.
Overview
Syllabus
Introduction
Discriminants
Incidence variety
Physics
Example
Lambda analysis
Numerical methods
Computation
Pictures
Loop Diagram
Table
MathRep
Conclusion
Taught by
Harvard CMSA