The Inflationary Paradigm by Nicola Bartolo

Outline
INFLATION: WHY SO IMPORTANT?
What is inflation?
The rise and fall ... of the comoving Hubble horizon
INFLATION:
When? Fitting into the Big Picture
Initial conditions
HOW? INFLATION and THE INFLATON
Observational predictions
Zoology of inflationary models
Inflation dynamics and the level of gravity waves
Classifying inflationary models
Non-canonical kinetic term
......and multi-field models of inflation
......and vector fields during inflation?
Models with primordial vector fields during inflation
The f F2 model: power spectrum and bispectrum
Main message about IR modes:
Effective Field Theory approach to inflation and new symmetry breaking patterns
The Action up to third-order from the EFT expansion
Condensed Matter Cosmology??
Current observational status
Why Inflation is sensitive to high-energy fundamental physics?
We have a dream........
Why gravity waves of inflation are important?
Primordial non-Gaussianity
Why primordial NG is important?
A reminder......
Another good reason: Maldacena consistency relations
Shapes of NG: local NG
Equilateral NG
LESSON: NG...IT'S NOT JUST A NUMBER
Observational limits set by Planck
Implications for inflation models
Planck limits on trispectra
What can we expect in the future? Crossing critical thresholds
Oscillatory features
The nature of gravitational waves I
The nature of gravitational waves I These observables can be signatures of new physics.
Present constraints on tensor NG hkihk2hk3
Determining the nature of Gravitational Waves II
Measuring the Energy Scale of Inflation with Large Scale Structures
Other example
Chirality in the vybispectrum
Chiral GWs: detection prospects via CMB bispectra
Chiral scalar-tensor models: theoretical predictions
New avenues: Anisotropies of SGWB from inflation and primordial non-Gaussianity**
The heritage of inflation
Conclusions: looking into the future
The fd F2 model: power spectrum and bispectrum
The 12b F2 model: some highlights
Search in Presentation
New future/futuristic observational strategies for PNG
Expected constraints with SPHEREx
Open questions