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Isaac Newton Institute for Mathematical Sciences

This workshop will focus on various aspects of the geometry of interacting random paths. The aim is to bring together researchers specialising in random processes such as branching random walks, activated random walks, random interlacements, and other models of interacting random walks, as well as their continuous time counterparts. The workshop will explore questions and results concerning the geometry of the ranges of these processes, and further properties of their occupation time fields, for instance, their associated “thick points”. It will include two-mini courses in addition to the programme of research talks.

The International Centre for Mathematical Sciences (ICMS)

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.

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.