# Events

Link to termcard: Termcard Lent 2018

All talks will take place in the Winstanley Lecture Theatre unless stated otherwise.

Monday 22 January, 8:30PM

**Loop Erased Random Walks, Uniform Spanning Trees and Percolation**

Dr Sebastian Andres

In graph theory spanning trees have been investigated already since the 19th century. They appear for instance as objects in a number of algorithms. On the other hand, in modern probability theory certain random spanning trees, so called uniform spanning trees, have had a fruitful history. Most notably, around the turn of the millennium the study of these spanning trees led Oded Schramm to introduce the SLE process, work which has revolutionised the study of two dimensional models in statistical physics. One reason for the importance of uniform spanning trees is their intimate relation to another model, the loop-erased random walks. In this talk we will introduce both models and explain their connection by means of Wilson’s algorithm. In the last part we will discuss some relations to percolation theory.

Monday 5 February, 8:30PM

**A Tour of the Mandelbrot Set**

Dr Holly Krieger

The Mandelbrot set is a famous image, but its mathematical content is much less widely known. We’ll take a mathematical walk

around the Mandelbrot set, visiting the minibrots and the Feigenbaum point. We’ll stop at the rabbit, corabbit, and airplane, and answer the question: what happens when you twist the ears of the rabbit? We’ll

find the freshman sum and the Fibonacci sequence. Finally, we’ll provide one answer to the question every mathematician wonders when they first meet the Mandelbrot set: why do we care about this pretty picture?

Monday 19 February, 8:30PM

**Adventures in Algebraic Path Problems**

Dr Tim Griffin

The classic problem of finding shortest paths

in a directed graph can be generalised to finding paths taking path weights in a large class of semirings. This approach has been developed over the last fifty years, with many

interesting applications. However, if we try to model some existing Internet routing protocols using semirings we see that the distributivity law [a(b +c) = ab + ac] is often violated. Since distributivity is vital in semiring theory, we are forced to explore what, if anything, can be accomplished with such “impoverished” algebraic structures.

Sunday 25 February, All day

**TMS Symposium**

The TMS Symposium and annual dinner is our largest event of the year. All day, a variety of speakers, including PhD students, Fellows and visiting speakers, will discuss their research in all areas of mathematics. This is open to all and there is no need to stay for the whole event; feel free to just drop in on talks you find particularly interesting. Speakers and times TBC.

Monday 5 March, 8:30PM

**The Mathematics of Spin**

Prof Colm-Cille Caulfield

Dynamical systems where there is significant rotation or “spin” are (perhaps) surprisingly common. In this talk, I will discuss the fascinating, and often deeply counter-intuitive, mathematics and physics underlying several examples of interest, including fidget spinners, sport balls, hurricanes and, of course, cocktails.