This is the first annual meeting of the Collaboration on the Nonperturbative Bootstrap.
In this lecture, Leonardo Rastelli will overview the bootstrap approach, the idea that theory space can be determined from the general principles of symmetry and quantum mechanics. This strategy provides a new unifying language for QFT and has allowed researchers to make predictions for physical observables even in strongly coupled theories. Rastelli will illustrate the general framework in a few examples, ranging from the concrete (boiling water) to the abstract (supersymmetric theories in various spacetime dimensions).
What’s the longest sequence of steps you can create while guaranteeing your safety? If you’re two steps from death, the answer is 11. For three steps, the answer is 1,161. But what about for other numbers? This conundrum, the Erdős discrepancy problem, was conjectured by mathematician Paul Erdős in around 1932 and had gone unsolved for more than seven decades. In this lecture, Terence Tao will discuss his general solution to the problem, published last year, and its connections to the Chowla and Elliot conjectures in number theory. The solution incorporates mathematical tools from probability, number theory and information theory.
Ever since the invention of the laser more than 50 years ago, scientists have strived to create an X-ray laser. In the same way that visible lasers can concentrate light energy far better than a light bulb, a directed beam of X-rays would have many useful applications in medicine, security screening and the sciences.