# Differential Equations for Cosmological Correlators

- Institution: CERN
- Department: Conferences, Workshops & Schools
- Speaker: Guilherme Pimentel
- Year: 2023
- Language: English
- Subjects: Mathematics
- Source: [CERN](https://videos.cern.ch/record/2302630)
- Licence: [CERN](http://copyright.web.cern.ch)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

I will describe how methods largely developed to tackle problems in QCD are extremely useful to understand the gravitational problem of the initial conditions. More specifically, I will how to obtain differential equations (in terms of boundary momenta) for tree-level cosmological correlators in a toy model. The differential equations follow a set of self consistent rules that can be explained autonomously, regardless of the ``bulk time integral" picture used to derive them in first place. This "kinematic flow," besides providing a practically useful way of computing the correlators, suggests that there is an alternative description of cosmology in which time evolution is an output, rather than wired-in from the get-go..

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## Lectures

1. [Differential Equations for Cosmological Correlators](https://invisiblenetwork.ai/learn/cern/2302630/3a7ff0ad6b04), 32 min (CERN's player)