University of Regina

In 2003, Bose proposed the idea of using a network of interacting spins as a quantum wire to transfer information within a quantum computer. Associated with the network is a matrix M whose rows and columns are indexed by the spins, and whose entries...

This workshop is organized around some interrelated themes in algebraic and equivariant topology such as: torus-equivariant topology and GKM theory; K-theory of toric manifolds; (rational) homotopy theory of toric spaces; arrangements of hyperplanes...

Much of the fascination with arrangements of complex hyperplanes comes from the rich interplay between the combinatorics of the intersection lattice and the algebraic topology of the complement. A key bridge between the two is provided by the...

In this talk, we will discuss the theory of Vector and Banach lattices, as well as some recent developments. In particular, we will discuss order convergence and unbounded order convergence (uo-convergence). In many classical function spaces, uo...

Why do one-celled creatures take the shapes they do? What is the mathematics of breathing? More and more, Mathematics is intruding into the realm of biology. Here we will see how mathematical notions of "shape" fit into our understanding of living...

A basic result from complex function theory states that the logarithmic residue (i.e., the contour integral of the logarithmic derivative) of a scalar analytic function can only vanish when the function has no zeros inside the contour. Question: does...

An association scheme is a coloring of a complete graph satisfying certain regularity conditions. It is a generaliztion of groups and has many applications in algebraic combinatorics. Every association scheme yields a special matrix algebra called...

Spectral geometry asks the question "can one hear the shape of a drum?" While it is now known that the answer to this question in general is negative, one can still capture quite a few geometric invariants of a space in terms of eigenvalues of the...