Past Events

The Goodwillie derivatives of the identity functor on pointed spaces form an operad in spectra that is very closely related to the Lie operad. I will describe the mod 2 homology operations for algebras over this operad. This talk will not assume...

Alzheimer’s disease (AD) is a burgeoning threat to Canada. With nearly 15% of Canadian elderly affected presently by AD and numbers expected to roughly double by 2040, the disease could potentially cost the country as much as $300 billion annually...

One important construction in the theory of metric spaces is the tight span. The tight span of a metric space can be thought of as a generalization of the idea of a convex hull in linear spaces and is the basis for much work in the study and...

The independence polynomial has been widely studied in algebraic graph theory, in statistical physics, and in algorithms for counting and sampling problems. Seminal results of Weitz (2006) and Sly (2010) have shown that in bounded-degree graphs the...

Predicting homogeneous coefficients of random heterogeneous materials involves solving auxiliary problems in volume elements. The accuracy of homogeneous coefficients depends not only on the size of the volume elements, but also on the boundary...

A lattice L is the set of vectors arising from integer linear combinations of given basis vectors in R^n. Given some vector x, the Closest Vector Problem (CVP) is to find a vector v in L of minimum l_2-norm distance to x. CVP is a fundamental problem...

It is a famous unsolved problem whether there are infinitely many primes $p$ such that $p+2$ is also prime. Such primes are called twin primes. Recently, some spectacular progress was made towards this conjecture by Yitang Zhang, Maynard and Tao...

I will present a joint work with Martin Li. Minimal surfaces with free boundary are natural critical points of the area functional in compact smooth manifolds with boundary. In this talk, I will describe a general existence theory for minimal...

We present an analog of the total variation image reconstruction approach by Rudin, Osher, Fatemi (1992) for images defined on smooth surfaces, together with a proper analytical framework. The problem is defined in terms of quantities intrinsic to...