The LMS Durham Research Symposia began in 1974, and form an established series of international research meetings, with over 100 symposia to date. They provide an excellent opportunity to explore an area of research in depth, to learn of new developments, and to instigate links between different branches. The format is designed to allow substantial time for interaction and research. The meetings are held in July or August, lasting up to 10 days, with up to 70 participants, roughly half of whom will come from the UK. Lectures and seminars take place in the Department of Mathematical Sciences, Durham University.

Homogenisation is a generic term used to describe the derivation of the macroscopic behaviour of systems with many scales in self averaging environments. The theory spans across specific areas of mathematics ranging from probability (law of large numbers, percolation theory, etc.) to partial differential equations (Gamma-convergence and variational problems, viscosity solutions, geometry, etc.) and statistical mechanics and applications in, among others, composite materials, phase transitions, control theory and optimal designs.
This workshop aims to bring the different approaches and communities working on random homogenisation together. We will cover a number of current aspects of random homogenisation, in particular with regards to elliptic and parabolic equations, as well as the aforementioned connections to statistical mechanics. We also make connections to modern questions in periodic homogenisation as well as applications and numerical methods.

Note: The scientific programme will start on the morning of August 20th, 2018, and finish in the afternoon of August 24th.

Useful information about travelling to Durham can be found on the Department of Mathematical Sciences and Durham University webpages.

Accommodation is arranged at Hatfield College, a map with the location in Durham can be found here. The reception will be open from 9am-5pm. Outside of these times, a porter will be available to show you to your room. Please use the red internal telephone to call the porter if he is away from his post. The entrance is marked "Reception/Porter's lodge" on this map.

From the Durham train station, the college is approximately a 15 minute walk or a short taxi ride away. From Newcastle Airport, it is possible to take either the green metro line to Newcastle Central and then a short train ride to Durham, or a taxi directly from the airport.

Accommodation for participants will be in a Durham College. Guest rooms offer en-suite and internet facilities. Attendance is by invitation only.

The symposium is funded by Durham University and co-organised by the Albert-Ludwig-University of Freiburg. Travel support is provided by the German Scholars Organisation/Carl-Zeiss-Stiftung as well as by EPSRC.