Past Events
Starting with the work of Choptuik '92, numerical relativity predicts that naked singularity spacetimes arise on the threshold of dispersion and black hole formation, a phenomenon referred to as critical collapse. In this talk, I will present for 2+1 gravity the first rigorous construction of…
It has been known since the '60's that all 2-knots are slice, meaning that all 2-spheres embedded in the 4-sphere bound embedded 3-balls into the 5-ball, and thus are concordant to the unknotted sphere. However, when we restrict to the class of "periodic" 2-knots, meaning 2-knots which are…
In this talk we will prove that there are precisely two embedded exact Lagrangian fillings of the standard Legendrian Hopf link, up to compactly supported Hamiltonian isotopy. It was known that the standard Legendrian Hopf link admitted at least two such Lagrangian fillings: we show these are…
The cavity method is a powerful, non-rigorous technique at the heart of the theory of spin glasses. Its application to dynamics, called the dynamical cavity method, has been one of the main tools in the physicist's toolkit for describing the asymptotics of algorithms in disordered systems. One…
Abstract: The notion of visibility from the origin along straight lines has been generalised by considering lattice points viewed through nonlinear trajectories. Inspired by this, we define polynomial Farey sequences, reducing to the classical Farey sequences for linear polynomials. In…
Abstract: Many physical systems with chaotic microscopic dynamics display remarkably regular macroscopic behavior. For example, gases made of many interacting particles are well described, at large scales, by familiar hydrodynamic equations such as those of Euler or Navier–Stokes. These systems…
I will discuss some combinatorics questions that arise in quantum error-correction, specifically in understanding the limits of quantum codes under the practical constraint of locality. I'll discuss known results and open questions. No quantum computing background will be assumed.