University of Lethbridge

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

Hardy and Littlewood initiated the study of the 2k-th moments of the Riemann zeta function on the critical line. In 1918 Hardy and Littlewood established an asymptotic formula for the second moment and in 1926 Ingham established an asymptotic formula...

We describe a theorem of M. Mourtada and V. Kumar Murty on the distribution of values of the logarithmic derivative of the L-functions attached to quadratic characters. Under the assumption of the generalized Riemann Hypothesis they prove the...

In this talk, I will briefly review the basic modeling of Mathematical Finance, and then focus on how to numerically measure the risk of a financial position. For the latter purpose, we will introduce the notions of coherent risk measures and convex...

In this talk, we describe a method for studying the value-distribution of L-functions based on the Jessen-Wintner theory. This method has been explored recently by Ihara and Matsumoto for the case of logarithms and logarithmic derivatives of...

The use of graphs to study permutation groups goes back to Higman who first introduced the orbital graphs, and used them to characterise the primitive groups. Since then, graph theory and permutation group theory have become intertwined, with many...

A permutation group G on X is transitive if for every x and y in X, there exists g in G mapping x to y. The group G is called primitive if, in addition, it preserves no nontrivial partition of X. Let Gamma be a vertex-primitive digraph, that is, its...

A transversal of a latin square of order n is a set of n entries picked in such a way that no row, column or symbol is present more than once. As you add more symbols to a latin square, you expect the number of transversals to increase. We show that...

Please bring your favourite (math) problems. Anyone with a problem to share will be given about 5 minutes to present it. We will also choose most of the speakers for the rest of the semester. EVERYONE IS WELCOME!

In this talk, we discuss some results on the non-vanishing of the central values of Rankin-Selberg convolutions of families of Hilbert modular forms. Such results are obtained by establishing some asymptotics of certain twisted first and second...