Previous Conferences & Workshops

In a profoundly influential 1948 paper, Claude Shannon defined the entropy function \(H\), and showed that the capacity of a symmetric binary channel with noise rate (bit flip rate) \(\mathrm{eps}\) is \(1-H(\mathrm{eps})\). This means that one can...

A widely studied model from statistical physics consists of many (one-dimensional) Brownian motions interacting through a pair potential. The large scale behavior of this model has has been investigated by Varadhan, Yau, and others in the 90's. As a...

Machine learning is often employed as one step in a larger application, serving to perform information extraction or data mining for example. The rules obtained by such learning are then used as inputs to a further analysis. As a consequence of the...

I will report on joint work with Nick Sheridan concerning structural aspects of mirror symmetry for Calabi-Yau manifolds. We show (i) that Kontsevich's homological mirror symmetry (HMS) conjecture is a consequence of a fragment of the same...

Let \(k\) be an algebraically closed field and let \(c:C\rightarrow X\times X\) be a correspondence. Let \(\ell \) be a prime invertible in \(k\) and let \(K\in D^b_c(X, \overline {\mathbb Q}_\ell )\) be a complex. An action of \(c\) on \(K\) is by...

We will state a number of problems with completely different origins, and reformulate them in terms of questions about what happens when you multiply integer matrices. (In fancy words, these are called the "Affine Sieve" or a "Local-Global Principle...

This is not a mathematics talk but it is a talk for mathematicians. Too often, we think of historical mathematicians as only names assigned to theorems. With vignettes and anecdotes, I'll convince you they were also human beings and that, as the...