Past Events
In this talk, we present a novel solvable lattice model which we term "stochastic symplectic ice" with stochastic weights and U-turn right boundary. The model can be interpreted probabilistically as a new interacting particle system in which particles jump alternately between right and left. We…
In this talk, I will present recent work (joint with M. Eichmair) on large area-constrained Willmore surfaces in asymptotically Schwarzschild 3-manifolds. Using the method of Lyapunov-Schmidt reduction, we prove
that the end of such a manifold is foliated by distinguished area-…
Contextual bandit is an online decision making framework that has found many applications in recommendation systems and search tasks. In this talk, we consider the extreme contextual bandit problem where the enormous number of arms poses the main theoretical and algorithmic challenges. This…
In this talk, we consider Riemannian manifolds with almost non-negative scalar curvature and Perelman entropy. We establish an $\epsilon$-regularity theorem showing that such a space must be close to Euclidean space in a suitable sense. Interestingly, such a result is false with respect to the…
The alternate title for the talk is “Stein trisections and homotopy 4-balls.” It’s well known that if X is a compact Stein surface and B is a homotopy 4-ball embedded in X with pseudoconvex boundary, then B must be smoothly standard. In this talk, we will introduce Stein trisections and…
Compactification of a symplectic manifold deforms its Fukaya category by counting new holomorphic disks. This deformation may be difficult to compute in general, but it turns out that in the case of a partial compactification by an affine normal-crossings divisor, it is easy to understand.…
Since the publication of the original white paper in 2008, Bitcoin and other blockchain-based currencies have soared in popularity and value---as of this writing, one Bitcoin is worth 54,000 USD. But what exactly is a Bitcoin? How can…
Abstract: Questions about the distribution of primes in an arithmetic progression are closely linked to the Generalized Riemann Hypothesis (GRH), which unfortunately appears out of reach. A very useful unconditional substitute for the GRH is the Bombieri-Vinogradov Theorem, which shows that the…
In Bernoulli bond percolation, each edge of some graph are chosen to be either deleted or retained independently at random with retention probability p. For many large finite graphs, there is a phase transition such that if p is sufficiently large then there exists a …