University of Lethbridge

What happens when you add up the divisors of an integer? This seemingly innocuous question has motivated mathematicians across the ages, from antiquity to the present day. In this talk, we'll survey some conjectures and results on the functions s(n)...

L-functions associated with automorphic forms are vast generalizations of Riemann zeta functions and Dirichlet L-functions. Although the theory of L-functions play a fundamental role in number theory, it is still largely conjectural. If π is an...

Let L/K be a Galois extension of number fields with Galois group G, and let C⊂G be a conjugacy class. Attached to each unramified prime ideal p in OK is the Artin symbol σp, a conjugacy class in G. In 1922 Chebotarev established what is referred to...

Let q≡1(mod4) be a prime power and Fq be the finite field with q elements. Let 1/2σ1 be fixed. We consider D a monic square-free polynomial in Fq[T] and χD the Kronecker symbol associated with D. In this talk, we will discuss the distribution of...

Let omega(n) denote the number of distinct prime divisors of n. Let W(m) be a random integer chosen uniformly from the set of natural numbers less than or equal to m. Let X(m) be omega(W(m)). The celebrated Erdos-Kac theorem asserts that if the...

In this talk we will discuss a combinatorial approach to studying the geometry of the moduli space of Langlands parameters for GLn. We will first discuss several connections between the study of partitions and the study of nilpotent conjugacy classes...

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.

A natural way to understand groups visually is by examining objects on which the group has a natural permutation action. In fact, this is often the way we first show groups to undergraduate students: introducing the cyclic and dihedral groups as the...

Let E be a CM elliptic curve defined over the rational numbers. In light of the Lang-Trotter conjecture, there is a question asking for an asymptotic formula for the number of primes p x for which the reduction modulo p of E is cyclic. This has been...

The first half of this talk will be a gentle introduction to the Erdős–Ko–Rado theorem (EKR) Theorem. This is a theorem that determines the size and structure of the largest collection of intersecting sets. It has become a cornerstone of extremal set...