Previous Conferences & Workshops

The workshop was by invitation-only.

Can the dramatic recent progress in machine learning lead to conceptual advances in the social sciences and humanities? Although we have access to social and cultural datasets of unprecedented scale, quality...

I’ll discuss the Noisy Quadratic Model, the toy problem of minimizing a convex quadratic function with noisy gradient observations. While the NQM is simple enough to have closed-form dynamics for a variety of optimizers, it gives a surprising amount...

We will discuss some of the basic principles and results in the study of Boolean-valued functions over the discrete hypercube using discrete Fourier analysis. In particular, we will talk about basic concepts, the hypercontractive inequality and the...

This talk will begin with a discussion of the string topology category of a manifold M; this was shown by Cohen and Ganatra to be equivalent as a Calabi-Yau category to the wrapped Fukaya category of T*M. In joint work with Ralph Cohen, we...

In this talk I will discuss the Sunflower Lemma and similar lemmas that prove (in various contexts) that a set/distribution can be partitioned into a structured part and a "random-looking" part. I will introduce communication complexity as a key...

Given a separation oracle for a convex set $K \subset \mathbb{R}^n$ that is contained in a box of radius $R$, the goal is to either compute a point in $K$ or prove that $K$ does not contain a ball of radius $\epsilon$. We propose a new cutting plane...

The spin-S quantum spin chain, with a projection-based antiferromagnetic interaction, and the antiferromagnetic XXZ spin-1/2 chain exhibit different forms of translation symmetry breaking. Yet they are related to a common system of random loops...

We shall discuss optimal conditions on the geometry of the domain responsible for solvability of the Dirichlet problem, or absolute continuity of the harmonic measure with respect to the Lebesgue measure. In rough terms, the question is: do Brownian...

Every smooth proper algebraic variety over a p-adic field is expected to have semistable model after passing to a finite extension. This conjecture is open in general, but its analogue for Galois representations, the p-adic monodromy theorem, is...