Abstract: We have a "Standard Model" of elementary particle physics which successfully describes the subnuclear interactions at the energies of our current experiments, including those at the CERN Large Hadron Collider. However, this model is manifestly incomplete. It raises questions that can only be answered if there are additional fundamental interactions at still higher energies. How far do we need to go? I will argue that achieving 30 TeV in the quark or lepton center of mass system is the next important milestone for our particle accelerators. How will we get there? There is no solution today, but many lines of research have been opened. I will discuss the proposed technologies using proton-proton, muon-muon, electron-positron, and photon-photon colliders. Michael Peskin is a theoretical elementary particle physicist. He received his Ph.D. from Cornell University in 1978. After postdoctoral appointments at Harvard Unversity and Cornell, he joined the faculty of the SLAC National Accelerator Laboratory at Stanford University in 1982. A theme that runs through much of his work is the use of high-precision measurements at the highest energy lepton and hadron colliders to search for new interactions beyond the particle physics Standard Model. He is the author of the textbooks "An Introduction to Quantum Field Theory", with Daniel Schroeder, and, very recently, "Concepts of Elementary Particle Physics". All are welcome to this event which will be livestreamed from the ICTP website: www.ictp.it Light refreshments will be served.