Dec 15 – 16, 2022
Centre for Particle Theory, Durham
Europe/London timezone

Pushforwards through the Scattering Equations

Dec 15, 2022, 3:30 PM
Ph8 (zoom room 1) (Centre for Particle Theory, Durham)

Ph8 (zoom room 1)

Centre for Particle Theory, Durham

Department of Physics Durham University South Road Durham DH1 3LE
Long talk (20 mins) Full Length Talks


Jonah Stalknecht (University of Hertfordshire)


In the past decade, the CHY formalism and positive geometries have arisen as interesting new ways to think about scattering amplitudes in certain theories. The former allows for scattering amplitudes to be calculated by summing over the solutions to a set of rational equations (the scattering equations), whereas the latter allows for scattering amplitudes to be calculated as the canonical form of certain geometric objects that live in the kinematic space (such as amplituhedra).

Although their development has been largely distinct, it has recently become clear that there is a direct connection between the two. This connection is facilitated by calculating pushforwards through the scattering equations. To further investigate this remarkable connection, in [2206.14196] we develop tools to calculate these pushforwards using techniques from algebraic geometry. In this talk I will give an introduction to the connection between positive geometry and scattering equations, and explain how these pushforwards can be calculated without having to solve the scattering equations explicitly.

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Primary author

Jonah Stalknecht (University of Hertfordshire)

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