# Seminar Archive - 2019

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

David Harvey - University of New South Wales
Joris van der Hoeven and I recently discovered an algorithm that computes the product of two $n$-bit integers in $O(n \log n)$ bit operations. This is asymptotically faster than all previous known...

Xiao Xiong - Institute for Advanced Study in Mathematics, Harbin Institute of Technology
The core ingredients of the quantised calculus, introduced by A. Connes, are a separable Hilbert space $H$, a unitary self-adjoint operator $F$ on $H$ and a $C^*$-algebra $\mathcal{A}$ represented...

Péter Koltai - Freie Universität Berlin
In the first part of this talk a data-based Markov-chain model is constructed for the probabilistic evolution of marine debris from the missing Malaysian Airlines flight MH370. Based on the beaching...

Liana Yepremyan - Oxford University
A central problem of extremal combinatorics is to determine the Turán number of a given graph or a hypergraph $F$, i.e. the maximum number of edges in an $r$-uniform hypergraph on $n$ vertices that...

Matthias Lesch - Mathematisches Institut, Universität Bonn
We state a generalization of the Connes–Tretkoff–Moscovici Rearrangement Lemma and give a surprisingly simple (almost trivial) proof of it. Secondly, we put on a firm ground the multivariable...

Bui Thi Hoa - Federation University Australia
A cubical polytope is a polytope with all its facets being combinatorially equivalent to cubes. The first part of the talk we will establish that for any $d\ge 4$, the graph of a cubical $d$-polytope...

Dr Stephen J Maher - Zuse Institute Berlin / Lancaster University
When solving the linear programming (LP) relaxation of a mixed-integer program (MIP) with column generation, columns might be generated that are not needed to express any integer optimal solution of...

Jan Rozendaal - Australian National University and Institute of Mathematics, Polish Academy of Sciences
It is well known that the solution operators $\cos(t\sqrt{-\Delta})$ and $\sin(t\sqrt{-\Delta})$ to the wave equation $\partial_{t}^{2}u=\Delta u$ are not bounded on $L^{p}(\mathbb{R}^{n})$, for $n\... John Griesmer - Colorado School of Mines If$A$and$B$are subsets of an abelian group$G$, their sumset is$A + B := \{ a + b : a \in A, b \in B\}$. An inverse theorem in additive combinatorics derives structural information on$A$and$B...

Kam Hung Yau - UNSW
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...