Date 
Speaker 
Title 

Jan 9 
Darcy Best 
Transversals in Latin Arrays with many Symbols 
at noon
in B660

(Monash University, Australia)

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 once the number of symbols
reaches a certain threshold, the square is guaranteed to have a transversal.


Jan 16 
everyone 
Open problem session 
at noon
in B660


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.


Jan 23 
Alia Hamieh 
NonVanishing of Central Values of RankinSelberg $\boldsymbol{L}$Functions 
at noon
in B660

(University of Lethbridge)

In this talk, we discuss some results on the nonvanishing of the central values of
RankinSelberg convolutions of families of Hilbert modular forms. Such results are
obtained by establishing some asymptotics of certain twisted first and second moments.
This is an ongoing joint work with Naomi Tanabe.


Jan 30 
Nathan Ng 
A subconvexity bound in the $\boldsymbol{t}$aspect for degree two Lfunctions 
at noon
in B660

(University of Lethbridge)

Let $f$ be a primitive modular form and $L_f(s)$ its associated $L$function.
Anton Good (1982) showed that $L_f(\tfrac{1}{2}+it) \ll t^{\frac{1}{3}+\varepsilon}$
in the case $f$ is a modular form on the full modular group. In 1987, Matti Jutila gave
a different proof and this was later refined by Martin Huxley. In this talk, we explain how
the JutilaHuxley approach can be generalized to the case of modular forms with arbitrary character $\chi$, weight $k$, and level $N$.
This is joint work with Andrew Booker (Bristol) and Micah Milinovich (Mississippi).


Feb 6 
Joy Morris 
Oriented Regular Representations 
at noon
in B660

(University of Lethbridge)

An oriented graph is a digraph with at most one arc between any pair of vertices.
We say that the action of a group on a set of points is regular if it is sharply
transitive; that is, there is exactly one group element mapping any point to any
other point. An oriented regular representation (ORR) for a group $G$ is an
oriented graph whose automorphism group is isomorphic to the regular action of
$G$ on the vertices.
In 1980, Babai asked which groups admit an ORR. I will discuss this problem,
and present joint work with Pablo Spiga in which we showed that every
nonsolvable group admits an ORR.


Feb 13 
Habiba Kadiri 
Explicit results in prime number theory 
at noon
in B660

(University of Lethbridge)

The prime number theorem, proven in 1896, is one of the first major theorems
in analytic number theory. It provides estimates for prime counting functions.
In 1962, Rosser and Schoenfeld gave a method to estimate the error term in the
approximation of the prime counting function $\psi(x)$. Since then, progress on
the numerical verification of the Riemann Hypothesis and widening the zerofree
region of the Riemann zeta function have allowed numerical improvements of these
bounds. In this talk, we present various new explicit methods such as introducing
some smooth weights and establishing some zero density estimates for the Riemann
zeta function. We also present some explicit results for primes in short intervals
and for primes in arithmetic progressions.


Feb 27 
Dave Morris 
Modern approach to the Traveling Salesman Problem 
at noon
in B660

(University of Lethbridge)

The Traveling Salesman Problem asks for the shortest route through a collection
of cities. This classical problem is very hard, but, by applying Linear Programming
(and other techniques), the optimal route has been found in test cases that have
tens of thousands of cities. This talk will present some of the powerful methods
that are explained in W.J.Cook's book "In Pursuit of the Traveling Salesman".


Mar 6 
Hadi Kharaghani 
Title TBA 
at noon
in B660 
(University of Lethbridge)

Abstract TBA


Mar 13 
Forrest Francis 
Title TBA 
at noon
in B660 
(University of Lethbridge)

Abstract TBA


Mar 20 
Speaker TBA 
Title TBA 
at noon
in B660

(University of Lethbridge)

Abstract TBA


Mar 27 
Amir Akbary 
Title TBA 
at noon
in B660

(University of Lethbridge)

Abstract TBA


Apr 3 
Sahar Siavashi 
Title TBA 
at noon
in B660

(University of Lethbridge)

Abstract TBA


Apr 10 
Speaker TBA 
Title TBA 
at noon
in B660

(University of Lethbridge)

Abstract TBA

