In this talk we discuss the construction of a broad class of asymptotic conditions for the gravitational field in three dimensions that reproduce the properties of the Ablowitz-Kaup-Newell-Segur (AKNS) integrable system.

Chiral symmetry is hard to engineer on the lattice. The origin of this problem can be traced to the Nielsen Ninomiya theorem which in its most naive form forbids the existence of unpaired Weyl fermions on the lattice.

Detecting Gravitational Waves (GWs) across a wide range of frequencies will certainly allow us to uncover new phenomena.

The unprecedented energy of the Large Hadron Collider (LHC) offers us a once-in-a-generation opportunity to explore the nature of the electroweak phase transition (EWPT) in the early universe.

Ultralight dark matter can induce oscillations in fundamental constants of nature such as the fine-structure constant the strength of the strong interaction and particle masses.

Axion-like particles (ALPs) appear in several well-motivated extensions of the Standard Model. In this talk we will discuss collider constraints on axion-like particles.

CMB observations have been testing inflation at scales ranging from a few Mpc to Gpc delivering stringent limits on the amplitudes of inflationary perturbations and their scale-dependence and pointing to an effectively single field behaviour.

Relativistic hydrodynamics is an effective field theory capturing the infrared behavior of interacting QFTs near thermal equilibrium.

We are currently living an outstanding time in the field of cosmology and gravitation where more and more data are being collected constantly.

While there has been tremendous success in measuring the geometry of the Universe the question of cosmic topology remains unresolved.