Explore the intricacies of work statistics and entanglement across the fermionic superfluid-insulator transition in this 38-minute lecture presented by Vivian FRANCA from São Paulo State University. Delve into the complex physics of quantum systems as the speaker examines the behavior of fermions during the transition between superfluid and insulator states. Gain insights into the statistical properties of work performed on these systems and understand how quantum entanglement plays a crucial role in this phenomenon. This talk, part of the ICTP Condensed Matter and Statistical Physics series, offers a deep dive into advanced concepts in quantum mechanics and condensed matter physics.