Past Events

Given two manifolds M and N, one can ask whether it is possible to cut M up into pieces and reassemble them to obtain N. This “cut-and-paste” (SK) relation fits into the framework of scissors congruence K-theory, which is an extension of higher...

Site percolation models are probability distributions of 2-colorings of the vertices of locally finite infinite graphs. Historically, they have been studied on graphs exhibiting symmetries such as (quasi)-transitivity. In joint work with Alexander...

Choleraremains a significant public health threat in many parts of the world, withdiffering levels of compliance to intervention strategies and undocumentedcases contributing to reservoir contamination with Vibrio cholerae at varyingrates alongside...

The UBC Applied Mathematics Meeting is a one day conference dedicated to the newly created SIAM Student Chapter at UBC, Vancouver, Canada. This event aims to bring together mathematicians, industry researchers, and students to exchange ideas, present...

In this talk I will present a series of works derived from the framework of physics inspired graph neural networks (GNN). The central premise is a GNN can be seen as the discretisation of a learnable dynamical system over a graph, this allows to...

Random walks or diffusions with Dirichlet boundary condition (killing at the boundary) admit a Perron-Frobenius eigenfunction (the unique positive normalized eigenfunction when the domain is bounded). Starting with gambler's ruin problems, we discuss...

The first regularity results for maps optimizing an open class of cost were proved by Ma-Trudinger-Wang (2005) using a key inequality which they introduced (based on a classical strategy of Pogorelov). Away from the boundary, this inequality controls...

An n-by-n matrix A=[a_{ij}] is said to be a pairwise comparison matrix (PC matrix) or a reciprocal matrix if it is positive and a_ij=1/a_ji, for all i,j=1,...,n. If, in addition, a_ika_kj=a_ij for all i,j,k, the matrix is said to be consistent. There...

A ring spectrum (a.k.a. a multiplicative cohomology theory) E is complex-orientable if every complex vector bundle admits a Thom class in E . While many familiar spectra are complex-orientable, notable examples fail to be so — such as real K-theory...

For a complex projective variety, the Lefschetz standard conjectures predict the existence of algebraic self-correspondences that are inverse to the hard Lefschetz isomorphisms. They have broad implications for Hodge theory and the theory of motives...