Explore the cutting-edge field of quantum many-body systems simulation using tensor networks in this 45-minute lecture by Glen Evenbly from the University of Sherbrooke. Delve into the challenges of quantum computation, starting with an introduction to quantum simulators and the many-electron problem. Gain insights into quantum systems and learn about tensor networks, including matrix product states and the branching mirror technique. Discover practical applications and understand the dynamics of these complex systems. Conclude with a comprehensive summary of the latest advancements in classical simulation of quantum phenomena.