# 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.

Gavin Robertson - University of New South Wales
In 1932, Banach devoted Chapter 12 of his book “Theory of Linear Operations” to determining the values of $p$ and $q$ for which the Banach space $L^{q}[0,1]$ is (linearly) isomorphic to a subspace...

Marley Young - University of New South Wales
A famous result of Northcott implies that a polynomial defined over a number field $K$ has only finitely many preperiodic points lying in $K$. It is of interest to determine if similar finiteness...

Galina Levitina - University of New South Wales
Using tools of the scattering theory we prove a limiting absorption for the free massless Dirac operator $D$ in multidimensional Euclidean space. As a corollary we prove that for a sufficiently good...

Zsuzsanna Dancso - University of Sydney
Quantised lattices, or q-lattices, appear naturally through categorification constructions - for example from "zigzag-algebras" - but they haven't been studied from a lattice theory point of view....

Oded Yacobi - University of Sydney
Linear representations of Lie algebras have a beautiful and well studied theory.  In the last decade we've discovered an equally rich and rigid theory of categorical representations of Lie algebras,...

Peng Gao - Beihang University, China
Let $c$ be a square-free Gaussian integer such that $c$ is congruent to 1 modulo 16. For fixed real $\sigma>1/2$, we show that there is an asymptotic distribution function $F_{\sigma}$ for the...

Arnaud Brothier - University of New South Wales
Jones subfactor theory studies inclusion of von Neumann algebras that are objects coming from functional analysis. It is connected to many area of mathematics such as tensor categories, knot theory,...

Zahra Afsar - University of Sydney
Given a quasi-lattice ordered group $(G, P)$ and a compactly aligned product system $X$ of essential $C^*$--correspondences over the monoid P, we show that there is a bijection between the gauge-...

Anita Liebenau - University of New South Wales
Ramsey theory connects several areas of mathematics including graph theory, number theory, discrete geometry, and many more. Its central idea is that total chaos is impossible. Erdos and Szekeres...

Tsuyoshi Kato - Kyoto University
We define a twisted Donaldson’s invariant using the Dirac operator twisted by flat connections when the fundamental group of a four manifold is free abelian.  We also present its applications and...