The idea behind this event, taking place in Durham, is to bring together members from other Durham and Newcastle departments to make 10 minute presentations about aspects of their research where a potential collaboration with Mathematicians or Computer Scientists might be beneficial. The audience comprises members of our Department of Mathematical Sciences and colleagues from Computer Science. The format is ALL presentations followed by the opportunity for further informal discussions and refreshments.

This event took place in Durham and was funded by Durham University. It was organised by Herbert Gangl (Durham Maths), Ioannis Ivrissimtzis (Durham CS), and Norbert Peyerimhoff (Durham Maths), and was a training opportunity for our students. Confirmed presenters were Bekrokh Eskandari (Peacocks Orthotics Limited, Newcastle), Sabetta Matsumoto (Georgia Tech), Saul Schleimer (Warwick), and Henry Segerman (Oklahoma State). All talks were open for the public and took place in the rooms CG91, CG93, CM105 and CM107.

**Thursday, 5pm, 8 June, CG93 (Scarborough Lecture Theatre):
**

Public Lecture by Henry Segerman (Oklahoma State University):

*3D Shadows: Casting light on the fourth dimension*

Abstract: Our brains have evolved in a three-dimensional environment, and so we are very good at visualising two- and three-dimensional objects. But what about four-dimensional objects? The best we can really do is to look at three-dimensional “shadows”.

## Time and Location:

14:00 in CM107 (Durham)

David will present a one hour lecture on a couple of card tricks and the mathematical ideas behind them. First he will investigate the De Brujin sequences (which are used in coding theory) and then he will look at what happens mathematically when a deck is shuffled and how we can use this structure to our advantage in a trick.

6 June 2017: David Cushing presents “Mathematics and Card Tricks”Read more

General meeting of all members of NODES and their PhD students.

## Location:

Room TR4, 4th Floor, Herschel Building, Newcastle University

## Timetable:

14.00-14.45 Andrew Wade (Durham, Maths): Convex hulls of random walks

14.45-15.30 Tea/Coffee break

15.30-16.15 Victor Khomenko (Newcastle, CS): Canonical Prefixes of Petri Net Unfoldings

Andrew Wade (Durham, Maths): Convex hulls of random walks

Abstract: On each of n unsteady steps, a drunken gardener drops a seed.

Tuesday, 28 February 2017: NODES Seminar, NewcastleRead more

**David Stewart (Newcastle, Maths): **Maximal subalgebras of modular Lie algebras

## Time and Location:

16:00 in CM107 (Durham)

## Abstract:

The question of classifying maximal subalgebras of Lie algebras goes all the way back to papers of Sophus Lie himself in the 1890s and has a long history from Dynkin onwards.

Monday, 20 February 2017: Joint Pure Maths Colloquium-NODES Seminar, DurhamRead more

**Maciej Koutny (Newcastle, CS)**: Synthesis of Petry Nets with Whole-place Operations and Localities

## Time and Location:

14:00 in E245 (Durham)

## Abstract:

Synthesising systems from behavioural specifications is an attractive way of constructing implementations which are correct-by-design and thus requiring no costly validation efforts. In this talk, systems are modelled by Petri nets and the behavioural specifications are provided in the form of step transition systems, where arcs are labelled by multisets of executed actions.

Wednesday, 8 February 2017: Joint ACiD-NODES Seminar, DurhamRead more

Workshop *Algebraic, Topological and Complexity Aspects of Graph Covers 2017*

This event takes place in Durham and is organised by Matthew Johnson and Daniel Paulusma of Durham’s Algorithms and Complexity group (ACiD) together with Jiri Fiala, Jan Kratochvil (Charles University, Prague) and Jozef Siran (Open University). Invited Speakers are

- Pavol Hell, Simon Fraser University, Canada
- Daniel Kráľ, University of Warwick, UK
- Edita Máčajová, Comenius University, Bratislava, Slovakia

Sponsored by Durham University and the London Mathematical Society

9-13 January 2017: Algebraic, Topological and Complexity Aspects of Graph Covers 2017Read more

General meeting of all members of NODES and their PhD students.

## Location:

Pemberton Building, room PG21

## Timetable:

14.00-14.45 Max Gadouleau (Durham, CS): An introduction to the theory of Finite Dynamical Systems

14.45-15.30 Tea/Coffee break

15.30-16.15 Evgenios Kakariadis (Newcastle, Maths): Operator algebras associated with subshifts

Max Gadouleau: An introduction to the theory of Finite Dynamical System

Abstract: We are interested in complex networks of interacting entities (such as genes, neurons, persons, computers, etc.), where each entity has a finitely valued state and a function which updates the value of the state.

**Oleg Dolomanov (Durham, OLexSys Ltd): **Maths in crystal structure analysis

## Time and Location:

13:00 in CM221 (Durham)

Abstract: I will give a short introduction into how and why chemists get to the crystals, how the structures are solved and analysed. It will give some insight into practical use of maths in material sciences.

Thursday, 1 December 2016: Joint Geometry/Topology-NODES Seminar, DurhamRead more