Seminarium doktoranckie

It is believed that the quantum effects are ought to be significant in the very early cosmology. In my presentation I will discuss importance of the early universe studies and introduce a cosmological model which undergoes quantum induced singularity avoidance scenario - Big Bounce. Apart from the background degrees of freedom, tensorial perturbations will be introduced. The presented model embodies naturally an amplification mechanism for perturbations during Big Bounce, leading to generation of primordial gravitational waves, which potentially could be observed in the "near" future.

In this presentation, we will give a brief introduction to the Chern-Simons (CS) theory and in particular to some intriguing features related to the calculation of invariants of 3-manifolds.

We will concentrate on a particularly interesting point, represented by the existence of non- equivalent classical limits of a quantum theory in the context of the Rogers dilogarithm.

The violation of CP symmetry in the neutrino sector may be manifested in different oscillation probabilities for neutrinos and antineutrinos. Long-baseline neutrino experiments search for this effect by studying electron (anti)neutrino appearance in primordial muon (anti)neutrino beam. In this talk T2K and NOvA experiments will be presented and their recent results on CP violation will be shown. Future experiments - DUNE and Hyper-Kamiokande - will also be discussed.

Presently Generalized Parton Distributions allow us novel three-dimensional description of the proton structure when both transverse and longitudinal degrees of freedom are taken into account. A tool to experimentally constraint GPDs is Deeply Virtual Compton Scattering. Main steps in extracting DVCS cross-section in the framework of COMPASS experiment are discussed in detail hinting path towards the proton tomography.