Past Events

I will describe why the trivial knot S2-->S4 has non-unique spanning discs up to isotopy. This comes from a chain of deductions that include a description of the low-dimensional homotopy-groups of embeddings of S1 in S1xSn (for n>2), a group...

Consider two translation-invariant continuous-time processes X=(X_t) and Y=(Y_t). The two processes are isomorphic if there exists an invertible (bimeasurable) map from X to Y which commutes with translations. The map is finitary if in order to...

What is a game? Mathematically speaking, a game has players, strategies and scores to explain why the players win or lose. Games which are modelled with differential equations are called differential games. Common examples are pursuit-evasion games...

We introduce a class of UV-regularized two-body interactions for fermions in $\R^d$ and prove a Lieb-Robinson estimate for the dynamics of this class of many-body systems. As a step towards this result, we also prove a propagation bound of Lieb...

Let E be a CM elliptic curve defined over the rational numbers. In light of the Lang-Trotter conjecture, there is a question asking for an asymptotic formula for the number of primes p x for which the reduction modulo p of E is cyclic. This has been...

This seminar is cancelled and will be scheduled for a later date. In recent years the explosion in the volumes of data being stored online has resulted in distributed storage systems transitioning to erasure coding based schemes. Local Reconstruction...

Let G=(V,E) be an undirected graph on n vertices and λ:E →2^N a mapping that assigns to every edge a non-empty set of positive integer labels. These labels can be seen as discrete times when the edge is present. Such a labeled graph G'=(G,λ) is said...

Regularity has long been known to fail for minimal submanifolds of Euclidean space with large dimension, or large codimension, the latter in part because of no maximum principle for systems of PDEs. If, however, a minimal submanifold of Euclidean 2n...

Degenerate random environments (DRE) are a class of models of random media that arise naturally when considering random walks in non-elliptic random environments. In this talk we will motivate and introduce this class of models, discuss percolation...