# Coming Seminars

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

Gunther Uhlmann
Inverse problems arise in all fields of science and technology where causes for a desired or observed effect are to be determined. By solving an inverse problem is in fact how we obtain a large part of our information about the world. An example is...

Thomas Gobet
The Iwahori-Hecke algebra of the symmetric group is a central object in representation theory and low-dimensional topology. While it is naturally related to reductive groups, it can be defined starting from any (not necessarily finite) Coxeter group...

Andrew Hone
The appearance of primes in a family of linear recurrence sequences labelled by a positive integer $n$ is considered. The terms of each sequence correspond to a particular class of Lehmer numbers, or (viewing them as polynomials in $n$) dilated...

Marley Young
We consider the problem of when the first $n$ iterates of a given rational function over an arbitrary field are multiplicatively independent. This leads to a generalisation of a method of Gao (1999) for constructing elements of high order in finite...

Stephan Baier
The large sieve inequality is of fundamental importance in analytic number theory. Its theory started with Linnik's investigation of the least quadratic non-residue modulo primes on average. These days, there is a whole zoo of large sieve...

Michael Reynolds
This talk will focus on some web based software being developed to generate examples, check conjectures and allow experimentation and visualisation of Geometry over Finite Fields (and other Fields)  The idea is to generate a kind of cut-down version...

Stephen Doty
The Drinfeld-Jimbo definition of a quantised enveloping algebra by generators and relations is a $q$-analogue of Serre's presentation of a semisimple Lie algebra. The most complicated relations in the presentations are sometimes called the "Serre...

Peter Donovan
A positive integer $a_0$ determines recursively the sequence$a_0,a_1,a_2,\ldots$ by the Collatz rules $a_{n+1}=a_n/2$ for even $n$ and $a_{n+1}=(3a_n+1)$ for$n$ odd.  Massive electronic calculation over many years has verified that for each`start...