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Deformation quantization is a mathematical approach to understanding the quantization of classical mechanical systems. This talk will outline the procedure of deformation quantization and how it connects to the mathematical study of deformation theory. Time permitting, we will discuss some examples…

Quantum computers promise to simulate quantum systems and answer open questions across science from condensed matter and quantum chemistry to particle physics and quantum gravity. Two problems stand in the way: how to build them, and how to use them. Each brings hard optimisation, inference, and…

Optimal transport (OT) theory, first conceived to solve problems of moving dirt, has since evolved into a powerful mathematical framework with far-reaching applications across machine learning, probability and statistics, and theoretical physics. In particle physics, OT underpins many modern machine…

As a continuation of the canonical formulation of Loop Quantum Gravity, I will present an introduction to its covariant, path‑integral formulation in terms of spinfoams. Starting from the interpretation of spin networks as quantum states of geometry, I will explain how spinfoams arise as histories…

Axions are some of the best-motivated beyond the Standard Model particle candidates at present. These ultralight particles may account for the cosmological dark matter and explain other outstanding problems in nature, such as the strong-CP problem; they also are now known to emerge generically in…

Formulations of gravity as a constrained topological theory not only help us understand its variables and symmetries, but also are especially useful for quantization. In the first part of this talk, I will present the EPRL (Engle-Pereira-Rovelli-Livine) model, which is a spinfoam quantization of the…

I will describe new ideas relating quantum chaos to the complexity of time evolution. One approach treats physical time evolution as a quantum computation, and bounds the smallest quantum circuit that can simulate this evolution. The second approach quantifies how ergodically and rapidly a quantum…

Modern quantum experiments achieve coherences and scales once only dreamed of, pushing the limits of physics and computation. To understand and guide these advances, the questions we ask of quantum physics today---centered around the behavior of quantum information and complexity in large coherent…