Past Events

The Tracy-Widom distribution has found broad use in statistical theory and application. We review some of this, focusing first on Principal Components Analysis and the `spiked model'. When the spike signal is below the Baik-Ben Arous-Peche threshold, likelihood ratio tests for…

Manolescu and Piccirillo recently proposed potential constructions of an exotic 4-sphere. These came in the form of knots K that if slice, then an exotic 4-sphere exists. The key property these knots have is that they share a zero surgery with a knot K' that has non-vanishing s-invariant. Here…

In the bounded retrieval model, the adversary has malware on the message sender’s computer that can leak a certain amount of information (e.g., 10 percent of the size of the hard drive). In this setting, Bellare, Kane and Rogaway gave an efficient symmetric encryption scheme. Their scheme uses a…

Abstract: I will continue discussing the formalism of flow categories,
and in particular discuss the changes required to account for the fact
that there usually is no well-defined action functional, which
requires one to work with Novikov ring/field coefficients.

Abstract: In this talk, by using the trace formula method, I will prove a multiplicity formula of K-types for all representations of real reductive groups in terms of the Harish-Chandra character. 

The angle rank of an abelian variety over a finite field (or a CM abelian variety over C) quantifies the extent to which the Tate conjecture (or the Hodge conjecture) holds "for trivial reasons"; cases where this does not happen tend to be rare in practice. Picking up a thread from some old (…

Fix a forbidden subgraph H and a constant δ. Suppose G is an H-free graph with minimum degree at least δ|V(G)|. We are interested in the following question: for which δ do all such G have a shared finite H-free homomorphic image? For r > 1, we construct a family of dense …

A 7D minimal and locally-stable hypersurface will in general have a discrete singular set, provided it has no singularities modeled on a union of half-planes.  We show in this talk that the geometry/topology/singular set of these surfaces has uniform control, in the following sense: if $M_i…

The basic question is the evolution of the level sets of the solutions to equations of the Fisher-KPP type, in which the diffusion is given by an integral operator. Mathematically, they will organise themselves into an invasion front that is asymptotically…