The study of habitable worlds has become a central focus in modern astrophysics, propelled by the discovery of exoplanets, the search for life beyond Earth, and the quest to understand the conditions necessary for supporting life. This colloquium will provide an overview of the current state of the art in this highly interdisciplinary field, emphasising the intricate balance of factors that determine planetary habitability. Key physical principles such as stellar properties, atmospheric composition, climate dynamics, and the influence of galactic environments will be discussed, along with the methods used to assess and characterize these conditions across a range of exoplanets.

FLASH radiotherapy (FLASH-RT) is an innovative cancer treatment that delivers ultra-high dose rates (≥40 Gy/s) in less than 200 ms. This irradiation modality elicits a biological effect called FLASH effect, that significantly reduces damage to normal tissues while maintaining tumor control. Despite promising preclinical results, the precise mechanisms underlying this effect remain unclear, with hypotheses including transient oxygen depletion and reactive oxygen species dynamics. The clinical implementation of FLASH-RT faces challenges such as compact radiation sources, accurate dosimetry and reliable equipment for beam monitoring and delivery. This seminar reviews the latest advancements, technological challenges and future directions for FLASH-RT in clinical practice.

Neutrino oscillations were discovered in 1998, providing the first evidence for massive neutrinos. A breakthrough in 2012 with the discovery of 𝝑13 opened up a new field of research to study quantum superposition effects over macroscopic distances (>100 km). In this seminar, this discovery will be presented and a new generation of experiments that study neutrino oscillations at large distances will be introduced.
These experiments -T2K, NoVA, JUNO, DUNE, and HyperKamiokande- have an ambitious goal: to fully determine the neutrino mass hierarchy and mixing parameters, which correspond to the lepton Yukawa sector of the Standard Model of Particle Physics. Results from ongoing experiments and expectations for the coming decade will be discussed.

Quantum Mechanics (QM), one of the most counter-intuitive and vanguard  descriptions of fundamental phenomena ever conceived, is not only at the heart of our understanding of the Universe, of matter, and of its interactions, but has also gained a primary role in science and technology with a large range of applications to our everyday life going from computing, to information theory, to safe communications. While we currently have no motivation to think that QM would stop to describe phenomena at short distances, at least below the Planck scale, it is interesting to ponder to what extent fundamental quantum effects can be probed beyond the atomic scales (10−10 m). Such a question has recently gained further momentum after the observation of entanglement in the spin of top/anti-top quark pairs at the LHC, the highest energy accelerator experiment on earth, operating at the TeV (10−19 m, 10−28 s) scale. This seminar will review the main ideas and results of applying quantum information concepts and methods to the study of fundamental interactions and illustrate the perspectives.