Past Events

Optimal maps in R^n to disconnected targets necessarily contain discontinuities (i.e.~tears). But how smooth are these tears? When the target components are suitably separated by hyperplanes, non-smooth versions of the implicit function theorem can...

Equivariant formality, a notion in equivariant topology introduced by Goresky-Kottwitz-Macpherson, is a desirable property of spaces with group actions. Examples of equivariantly formal spaces include compact symplectic manifolds equipped with...

The Torelli subgroups of mapping class groups are fundamental objects in low-dimensional topology, through some basic questions about their structure remain open. In this talk I will describe these groups, and how to use tools from representation...

This talk will illustrate some patterns in the homology of the configuration space F_k(M), the space of ordered k-tuples of distinct points in a manifold M. For a fixed manifold M, as k increases, we might expect the topology of these configuration...

Midpoint rule is a numerical integrator for ordinary differential equations. When used to simulate mechanical systems, it may reveal various structure-preserving features, such as symplecticity. The talk will discuss the variational origins and...

The HIV prevalence in the MSM population of Vancouver is slowly increasing, but the amount of Syphilis cases is increasing very rapidly. Since Syphilis facilitates the infection of HIV, there is a certain relation between the infected populations. In...

Gender equality is a major issue within science communities. While efforts to be proactive and bring awareness to gender inequality have been made in recent years, still only 1/8th of academic scientists are women. A recent paper published in PLOS...

We develop a mimetic multiscale method to simulate quasi-static Maxwell's equations in frequency domain. This is especially useful for extensive geophysical models that include small-scale features. Applying the concept of multiscale methods, we...

Description (in plain text format): The modularity theorem tells us that for every elliptic curve E over the field Q of rational numbers, there is a modular form f such that the L-function L(s,f) for f coincides with the L-function L(s,rho) for the...

Systems of points with Coulomb, logarithmic (or more generally inverse powers of the distance) interactions arise in various settings: an instance is the classical Coulomb gas which in some cases happens to be a random matrix ensemble, another is...