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The Fields Institute

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

A distinguished feature of the last few decades is the increasing availability of technological innovations to an everyday broader spectrum of society. This phenomenon has rapidly paved the way for the development of new economies such as e-commerce, sharing economies and online advertising. These activities are characterised by, for instance, a higher number of agents from both the supply and demand side, and an unprecedentedly large menu of tailor-made and personalised services. Naturally, this has led to more intricate behaviours and interactions at all levels of the economy. Consequently, there is a pressing need for the creation of economic theories that are able to explain the rationale of the participants, the way their actions are aggregated in society, and which are compatible with documented evidence. This workshop will unite specialists of stochastic control and economic theory, who will work and explore how recent theoretical developments in their respective fields can be applied to these newly identified problems.

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

In recent years, several areas of Banach lattice theory have experienced high rates of growth. The workshop is going to concentrate on these recent developments, including free Banach lattices, order and uo-convergence, and applications to Math Finance. The goal of the workshop is to bring together the leading experts and active young researchers to discuss the current and future directions of these developments and to identify potential applications and the main open problems. We also plan to try to understand the "big picture" of connections between these developments and other areas of Functional Analysis.