School of Mathematics

Kinetic theory is an area of mathematics which investigates systems that involve many elements using tools from Analysis of PDEs, Probability, and Numerical Analysis and Modelling. While originating in physical systems such as dilute gases, Kinetic Theory’s reach has expanded dramatically in recent decades to include biological, chemical, and even societal phenomena.

This ICMS workshop aims to bring together experts from various facets of Kinetic Theory to share their recent advances and discuss the future of the field. The workshop will also provide ample opportunities for early career researchers to present their research and engage with world renown experts in the field. 

The Many Facets of Kinetic Theory follows on the momentum generated by the INI-supported network, KineticNet which aims to facilitate cohesion, collaboration, and generate a sense of community between the different people working in the field of Kinetic Theory in the UK.

Spectral Theory in the UK has a longstanding history, encompassing the influential works of scientists such as Titchmarsh, Born and Dirac. It naturally sits at the crossroads of numerous branches of mathematics, from the very pure to the more applied side of the subject, including but not limited to operator theory, analysis of PDEs, harmonic analysis, differential geometry, numerical analysis, number theory and mathematical physics.

Classifying varieties up to birational equivalence is one of the driving forces for modern research in algebraic geometry. Some of the greatest results in 20th and 21st Century algebraic geometry lie in birational geometry, with both Mori and Birkar awarded the Fields medal for their work in this area. Birational geometry has seen some very healthy and surprising interactions with number theory over the last decade.

Firstly, many of the existing techniques and results in birational geometry only work over the field of complex numbers, due to the use of transcendental methods. There has been a push to make these methods algebraic and make them work over algebraically closed fields of positive characteristic, or even non-algebraically closed fields. Number theory has also fed into birational geometry, with the realisation that rational curves should behave like rational points, i.e. solutions to Diophantine equations.

Recent developments suggest that there is much to be gained at the interface between number theory and birational geometry, and this workshop will be one of the first attempts in the form of an international meeting to explore these interactions.

Please visit the webpage for further information.

Please visit the webpage for further information.

Please visit the webpage for further information.