University of Lethbridge

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.

The Lang-Trotter Conjecture for primitive points predicts an expression for the density of primes p for which a fixed rational point (not torsion) of a fixed elliptic curve defined on the rational numbers is a generator of the curve reduced modulo p...

(Please note that this abstract has been reformatted for the web, and some of the original mathematical typesetting may have been lost. Click here [.pdf] for original formatting.) Let n be a positive integer, G be a group and let ν = (ν 1,...,ν n) be...

We shall start by outlining some aspects of the long history of the Artin Conjecture. Then we shall consider a multiplicative subgroup G of Q*. If p is a prime for which the valuation v p(x) = 0 for every x in G, then the group G p ={x (mod p): x is...

I will show how the classical Beurling-Selberg extremal problem in harmonic analysis arises naturally when studying the vertical distribution of the zeros of the Riemann zeta-function and other L-functions. Using this relationship, along with...

An algebra is a vector space with a well-defined multiplication. An operator algebra is an algebra of operators acting on a Hilbert space, typically assumed closed in the norm topology. An easy example of an operator algebra is the algebra M_n(C) of...

The linear independence conjecture asserts that the multisetof positive ordinates of the zeros of automorphic L-functions is linearlyindependent over the eld of rational numbers. This deep conjectureimplies that if 1=2 + i is a zero of the Riemann...

In this talk, we give a brief overview of adelic Hilbert modular forms. Then, we show that the central values of the Rankin-Selberg convolutions, L(g otimes f, s), uniquely determine an adelic Hilbert modular form g, where f varies in a carefully...

Determining the full automorphism group of a graph is a hard problem with a long history. I will discuss some of the major results that involve finding graphs with a given automorphism group. I will then focus on circulant graphs, and describe some...

An automorphism of a Cayley graph that preserves its natural edge-colouring is called colour-preserving. We study groups G with the property that every automorphism on every connected Cayley graph on G is the composition of a left-translation and a...