# Full Seminar Archive

Our regular seminar program covers a broad range of topics from applied mathematics, pure mathematics and statistics. All staff and students are welcome.
This page has a complete list of past seminars and a list restricted by year can be accessed via the left-hand menu.

*Kam Hung Yau - University of New South Wales*

The Goldbach conjecture states that all even integer greater than 2 is a sum of two primes. Currently we do not have sufficient tools to prove this conjecture but we can obtain the following...

*Jorge Mello - University of New South Wales*

A famous integrality result due to Siegel says that genus one curves have a finite number of integral Solutions. In this talk we will recall some analogous results in the context of arithmetic...

*Anne Thomas - University of Sydney*

The notion of divergence of geodesics was introduced by Gromov in the 1980s as a way of quantifying how fast a pair of geodesic rays in a space move away from each other. Gersten then used this idea...

*Anna Romanov - University of Sydney*

Whittaker modules are certain representations of Lie algebras which were first studied by Kostant for their relationship to the Whittaker equation in number theory. From a representation-theoretic...

*Yusra Naqvi - University of Sydney*

Many simplicial complexes which are important from a combinatorial, geometric or representation-theoretic perspective have enormous symmetry groups. Associated to the action of a group $G$ on a...

*Leonard Scott - University of Virginia*

This talk is based on joint work with Brian Parshall and Jie Du, in progress. I will give some of the history and framework leading to the main conjecture we had made, asserting the existence of a...

*Mircea Voineagu - University of New South Wales*

Bredon motivic cohomology is a cohomology theory for equivariant algebraic varieties over a field of characteristic zero. We discuss Bredon motivic cohomology in the context of equivariant motivic...

*Alexander Jason Dunn - University of Illinois*

Let
\[ f(q):=1+\sum_{n=1}^\infty \frac{q^{n^2}}{(1+q)^2(1+q^2)^2\cdots(1+q^n)^2}=:1+\sum_{n=1}^{\infty} \alpha(n)q^n, \]
be the well-known third order mock theta of Ramanujan. Part of the...

*Peter Donovan - University of New South Wales*

There is a rather surprising relevance of the Artin-Hasse exponential to the Grothendieck Riemann-Roch theorem.

*Paul Bryan - Macquarie University*

The Harnack inequality plays a central role in the analysis of parabolic equations, such as through the strong maximum principle, regularity of weak solutions, Liouville type theorems for ancient...